A baby crawls towards a toy. Its motion is shown on the following graph of horizontal position x vs time t

It is illegal to follow an emergency vehicle at a distance of less than 500 feet or to stop within 300 feet of where an emergency vehicle is responding to an alarm.

Maintaining a safe distance from an emergency vehicle enhances the safety of both the emergency vehicle's crew and other drivers on the road by providing the emergency vehicle with the necessary space to maneuver and respond quickly to an alarm. When an emergency vehicle is responding to an alarm, it may need to make sudden stops, turns or change speed quickly, and if the vehicle behind is too close, it may not be able to react in time and cause an accident. By maintaining a safe distance, other drivers can react in a timely manner to the emergency vehicle's movements, reducing the risk of collisions and accidents. Additionally, maintaining a safe distance can also help to increase visibility for the emergency vehicle's crew, which can help them to navigate through traffic more safely and quickly. This ultimately contributes to the safety of all parties involved.

This statement is referring to laws and regulations regarding the distance that a driver must maintain from an emergency vehicle that is responding to an emergency call or alarm. Following an emergency vehicle too closely, or stopping too close to where an emergency vehicle is responding to an alarm, can impede the emergency vehicle's ability to respond quickly and safely.

It is illegal to follow an emergency vehicle at a distance of less than 500 feet because this distance is considered to be too close and can pose a safety hazard to the emergency vehicle and its crew. When an emergency vehicle is responding to an alarm, it may need to make sudden stops, turns or change speed quickly and if the vehicle behind is too close, it may not be able to react in time and cause an accident.

It is also illegal to stop within 300 feet of where an emergency vehicle is responding to an alarm. Stopping too close to the emergency vehicle can block the view of other drivers and make it difficult for the emergency vehicle to maneuver. Additionally, it can impede the flow of traffic and make it difficult for other vehicles to pass, which can cause a backup and delay the emergency vehicle's response time.

In summary, these regulations are put in place to ensure the safety of emergency vehicle's crews and other people on the road, and to make sure that emergency vehicles can respond to an alarm quickly and safely.

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It would take a blue whale from one side of the Pacific Ocean to find the other at a speed of 5 mph for the 4000 miles, which is approximately 800 hours or 33 days.

The speed of the organism is determined by its body structure and how nature designed it, such as in some fast-swimming fish, which have different body designs than some slow-moving fish. Because of their speed, they can escape and flee predators.

Hence, it would take a blue whale from one side of the Pacific Ocean to find the other at a speed of 5 mph for the 4000 miles, which is approximately 800 hours or 33 days.

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Your students should be informed that the warm sector of a mid-latitude cyclone is the region situated between the leading warm front and the trailing cold front. The space behind the cold front is known as the cold-sector.

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The tension in the string before the metal is immersed is 10 N. The tension in the string after the metal is immersed is 6.296 N.

The forces tugging on the rope from either end cause a certain strand of string or rope to be under strain. Recall that force equals mass times acceleration. Any change in acceleration or mass of the objects the rope is supporting will result in a change in tension in the rope, assuming the rope is stretched firmly.

(a) The tension in the string before the metal is immersed,

Given,

Mass of place of aluminum (m) = 1.00 kg

density of aluminum (ρ_s) = 2700 kg/m^3

density of water (ρ_w) = 1000 kgm^-3

When the aluminum piece is suspended in air,

T = mg

T = 1 ×10

T = 10 N

(b) When the aluminum piece is completely immersed in water,

mg = T +F_B

Where, F_B = buoyant force acting on aluminum

T= tension in the string

T= mg − F_B

T = ρ_sV_s×g - ρ_LV_L×g

After simplifying we get,

T = mg (1 - ρ_L/ρ_s)

T = 1 × 10(1 - 1000/2700)

T = 10(1 - 10/27)

T = 6.296 N

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The velocity 'v' of the cube as it leaves the block would be, v=[tex]\sqrt{\frac{2gR}{1+m/M} }[/tex].

Conservation of mechanical energy is a principle that states that the total mechanical energy of a closed system remains constant as long as no energy is added or removed from the system. In this case, the system consists of the two blocks and the table on which they rest. Since there is no friction and no external force acting on the system, the total mechanical energy (potential energy + kinetic energy) remains constant as the cube slides down the track. This allows us to use the initial potential energy of the cube to calculate its final kinetic energy, and thus its velocity as it leaves the block.

The magnitude of velocity of the cube as it leaves the block can be found using Conservation of mechanical energy.

Initially, the cube is at rest at the top of the track and has only potential energy, given by m₁gh, where g is the acceleration due to gravity and h is the height of the track. As the cube slides down the track, it loses potential energy and gains kinetic energy.

we have

mu=mv−−(1)

wall=Δk

mgR = [tex]\frac{1}{2} mv^{2} + \frac{1}{2} mu^{2}[/tex]

mgR = [tex]\frac{1}{2} mvH_{2}[/tex] + [tex]\frac{1}{2} (\frac{mv}{M} ) ^{2}[/tex] × M

mgR= [tex]\frac{1}{2} mv^{2} + \frac{1}{2} \frac{m^{2} v^{2}}{M}[/tex]

So, v²=[tex]\frac{2gR}{1+m/M}[/tex]

So, v= [tex]\sqrt{\s{\frac{2gR}{1+m/M} }}[/tex].

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Increased population expansion directly increases the demand for resources like water. When the population's need for water exceeds the availability from sources on the surface, such as rivers and lakes underground water is tapped.

In example, population growth will reduce the amount of water per person accessible since increased per capita water usage brought on by development will raise water demand, placing stress on the local water supply.

Producing food Population growth results in increased water consumption as well as increased water requirements for food production. We will need to pump groundwater more quickly than it can be extracted in order to meet the demands for food production brought on by the rapid increase in population.

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It is exactly because of the expanding cosmos that we can see objects that are up to 46.1 billion light-year away. The range of objects we can perceive and potentially reach will always be constrained.

Why can't we observe a galaxy that is 15 billion years old?

Answer and justification According to prevailing opinion, we can't see a galaxy 15 billion light-years away because the universe is thought to be less than 14 billion years old.

Why can we observe objects 13 billion light-years away?

Since light travels at a finite speed, if we witness an object 13 billion light years distant, the light has been moving in our direction for 13 billion years. In essence, we perceive that item as

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positive while seconds moving counterclockwise Direction are negative 1.18lb.ft

Direction is characterized as the course that anything follows, the route that needs to be taken to go to a particular location, the direction where something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.

Directions explain how to perform an action or the proper sequence. You are provided instructions for a number of your activities and assessments. It's critical to comprehend the motivation behind the instructions. Before starting anything, it's also crucial to follow ALL of the instructions.

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As per the problem statement the volume of the solid is (√3/4)*x^2.

Volume is the measure of space occupied by an object or contained within a space. It is typically measured in cubic units, such as cubic centimeters, cubic meters, or cubic feet.

The region shown is the base of a solid with an equilateral triangle as each of its cross section perpendicular to the x-axis. Since the cross sections are equilateral triangles, the length of the sides of each triangle will be the same, which is the value of x.

Therefore, the volume of the solid can be calculated using the formula V = A*h, where A is the area of the base and h is the height of the solid.

The area of the base can be calculated using the formula A = (√3/4)*x^2, where x is the length of the sides of the equilateral triangle.

The height of the solid can be calculated using the formula h = y2-y1, where y1 and y2 are the y-coordinates of the two endpoints of the region.

Consequently, the solid's volume is determined by:

V = (√3/4)*x^2*(y2-y1)

For the given region, the volume of the solid is V = (√3/4)*x^2*(1 - 0) = (√3/4)*x^2

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A is provided with the proper procedure by moles x molar mass. This same mass metric grams of one mole of an ingredient is its molar mass.

The proportion of substance in a thing is measured by its mass. That thing will be the same mass no matter where it is in the enormous universe. Contrarily, weight is a measurement that indicates how much gravitational potential energy is being applied to an object.

A pure element's atomic mass in number of atoms (amu) or grams for every mole (g/mol) is proportional to the mass about one mole of its elements in grams. Despite the fact that mass can be stated as either amu or g/mol, g/mol.

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The post-collision speed and direction of cart B in cm/s is 32.5 cm/s in the right

From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum

Momentum, p-mv where m is the mass and v is the velocity

m1v1 + m2v2 = (M1V2 + M3V₁)

Let right direction be positive while left negative hence

1 x 27.6 + (0.5*-42.9) = 1 x -10.1 + 0.5v

16.25 = 0.5v

v = 16.25/0.5 = 32.5 cm/s in the right

Hence, post-collision speed and direction of cart B in cm/s is 32.5 cm/s in the right

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False: Waves are generated when the wave's crest crashes into the bottom of the wave, which is travelling more quickly.

A wave is an energetic disturbance in such a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, a magnetic or electrical intensity, an electric potential, or a change in temperature are a few examples.

Transverse and longitudinal waves are the two types of waves. While longitudinal waves are similar to those of sound, composed of alternating compressions & rarefactions in a medium, transverse waves were like those on water, having their surface moving up and down.

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The amount indicated by is not fixed and changes over time. In situations where the linear acceleration is not zero, the velocity is always changing.

The first case is true

Since it depends on time, is not constant?

The amount indicated by is not fixed and changes over time. In situations where the linear acceleration is not zero, the velocity is always changing.

The dimension of the quantity albo will be ufa au av u t when calculating a particle's velocity as a function of time t using the formula v = a(1 - eb), where a and b are constants. (1 - e-b) Greutate, urb'a 221 Aich, a zat a2b3c faut Eleft.

The amount indicated by is not fixed and changes over time. When linear acceleration is absent  .

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The quantity represented by v is a function of time (i.e., is not constant).

True or false

A  particle moves with constant acceleration a. The expression VI +80 represents the particles velocity at what instant in time.

A. At a time T=zero

B. At the initial time

A particle starts from the origin at time t = 0 and moves along the positive x - axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s?

Answer:

About 4.4 seconds

Explanation:

[tex]h=1/2(gt^{2} )[/tex]

[tex]t^{2} =\frac{2h}{g}[/tex]

[tex]t=\sqrt{\frac{2h}{g} }[/tex]

[tex]t=\sqrt{\frac{2(93)}{9.8} } =\sqrt{18.98} =4.36[/tex]

Hope this helps

The kinetic energy of an object at a given instant is given by the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

In this scenario, the net force acting on the object decreases linearly throughout the displacement, as shown on the graph, and reaches zero at the end of the displacement. Therefore, the object's velocity at the instant the net force is zero is equal to its final velocity, which is the velocity of the object when it comes to rest.

Since the net force acting on the object is zero at this point, the work done by the net force is also zero. Therefore, the initial kinetic energy of the object is equal to its final kinetic energy, which is the kinetic energy of the object when it comes to rest.

Therefore, we can use the formula for kinetic energy to find the kinetic energy of the object at the instant the net force is zero:

KE = 1/2 * m * v^2

KE = 1/2 * (3.0 kg) * (0 m/s)^2

KE = 0 J

The kinetic energy of the object at the instant the net force is zero is 0 J. This means that the object has come to rest and all its kinetic energy has been transformed into other forms of energy like heat or sound.

The gravitational force between any two bodies is inversely proportional to the square of the distance between them. The distance from Earth at which the force of gravity exerted by Earth on the spacecraft cancels the force exerted by the Moon on the spacecraft is 384,400 km.

Gravitational force is a natural phenomenon by which all objects with mass attract each other. This force is one of the four fundamental forces of nature, and is the weakest of the four. It is the force that binds us to the Earth and keeps our feet firmly planted on the ground.

Part A: The gravitational force between any two bodies is inversely proportional to the square of the distance between them. Therefore, the force of gravity exerted by Earth on the spacecraft will be equal to the force of gravity exerted by the Moon on the spacecraft when the distance between them is equal to the Moon's orbit semimajor axis.

Part B: The Moon's orbit semimajor axis is 384,400 km. Therefore, the distance from Earth at which the force of gravity exerted by Earth on the spacecraft cancels the force of gravity exerted by the Moon on the spacecraft is 384,400 km.

To two significant digits, the answer is 384,400 km.

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The magnitude of θ such that the volume of the cone is a maximum is  56.58 degrees when a sector with central angle is cut from a circle of radius 12 inches.

Given the radius of circle (R) = 12 inches

Let the central angle (T) = θ

Volume of cone (V) = πr^2h/3

Let the slant height in cone = s

Let the height of cone = h

we know that for the cone, (r) = sT/(2π)

Then h = √(s^2 - r^2)

Therefore, V = π( sT/(2π) )^2√(s^2 - r^2)/3

To maximize V we need to find dV/dT such that dV/dT = 0

dV/dT = d/dT[π( sT/(2π) )^2√(s^2 - r^2)/3]

Let  θ = T then dV/dθ = d/dθ[π( sθ/(2π) )^2√(s^2 - r^2)/3]

(2θs^3/4π)√[(4π^2-θ^2)/(4π^2)] - (θ^3s^3)/(4π√[(4π^2-θ^2)/(4π^2)]) = 0

(2θs^3/4π)√[(4π^2-θ^2)/(4π^2)] = (θ^3s^3)/(4π√[(4π^2-θ^2)/(4π^2)])

θ^2 = 4π^2/(4π^2+1)

θ = 56.58 degrees

Hence the magnitude of θ such that the volume of the cone is a maximum is 56.58 degrees.

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The orbit radius for object A is B. one-half the orbit radius for object B

If the velocity only changes in direction (constant speed), then its acceleration has constant magnitude and is called centripetal.

An orbit that is perfectly balanced and has a constant speed is called a circular orbit. There are countless different elliptical orbits where velocity and speed are variable.

The velocity of an item rotating in a circle at a constant speed changes. This is thus because velocity depends on both speed and direction as a vector variable. Even if its speed is constant, the object in orbit is accelerating because its velocity is changing.

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Babies learn to concentrate their eyesight, stretch out, explore, and learn about the world around them during their first year. Cognitive development, often known as brain development, refers to the process of acquiring memory, language, thinking, and reasoning.

The period of infancy is critical for brain development.  Children who do not have a healthy first attachment are less likely to grow up to be happy, independent, and resilient individuals.

One of the primary causes is the rapid growth of the brain beginning before birth and continuing throughout early life.

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The patterns would you observe if you started at sea level and traveled upward through the earth's atmosphere to an elevation of 100 km are-

In this case, Option B and F are correct.

The atmosphere is what?

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Which of the following patterns would you observe if you started at sea level and traveled upward through the Earth's atmosphere to an elevation of 100 km? Choose one or more:

A. a progressive decrease in temperature

B. decreasing pressure

C. changes from warming trends to cooling trends at distinct boundaries D. increasing pressure

E. increasing density

F. decreasing density

Bear spread was correct!.

A bear put spread is made up of one long put and one short put with a higher strike price. Both put options have the same underlying stock and expiration date. A bear put spread is constructed for a net negative (or net cost) and gains as the price of the underlying stock falls. Bear may earn from being correct by selling short stocks or ETFs in the market.

This entails borrowing shares and then selling them in the hopes of buying them again at a reduced price and returning the shares to the lender. Inverse ETFs and mutual funds are also available, which increase when markets fall.The bear call spread makes the most money when the underlying price falls.

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The force must be raised to apply an impulse of 2J to an item, either by increasing the force's intensity or the object's mass. The right answer is Option C because it satisfies the requirement by applying a force of magnitude F to an object with mass 2m for some time t = 2T.

What does the physics term "impulse" mean?

To change the momentum of an object, you must exert a certain amount of force over a specific period. It is F times t because of this. For instance, you exert force for a brief period when you hit a ball with a cricket bat.

What is the definition of an impulse simple?

In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton seconds or kilograms per second and is denoted by the symbol J.

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When calculating the scalar and vector products, the angle between the vectors is taken into account. The dot product and inner product are other names for the scalar product.

In physics, a vector is a quantity with both direction and magnitude. It is often represented by such an arrow whose length was proportional to the size of the number and whose orientation is identical to that of the quantity. In science, anything with also a path and a magnitude is referred to as a vector. They are typically represented by pointing lines, each length of which denotes the size of the vector.

Scalar quantities can be described by their size or magnitude alone and do not require any other information. So, 10 cm, 50 seconds, and 7 litres.

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The spring's elastic potential energy decreases and the gravitational potential energy increases.

What do you mean by potential energy?

Potential energy is the energy an object possesses because of its position or state. It is the energy an object has due to its height, position, or chemical composition. The unit of measurement for potential energy is usually Joules (J).

There are different types of potential energy, such as gravitational potential energy (GPE), elastic potential energy (EPE), and chemical potential energy.

When a mass is attached to a vertical spring, it causes the spring to stretch. As the spring stretches, it stores potential energy in the form of elastic potential energy (EPE). As the spring stretches, the potential energy stored in it increases.

At the same time, as the mass is attached to the spring and moves downward, it loses gravitational potential energy (GPE) due to the work done by gravity on the mass. Since the mass is moving downward, the gravitational force is acting in the opposite direction of the displacement, resulting in a decrease in GPE. Therefore, as the mass moves downward, the EPE of the spring increases and the GPE of the mass decreases.

Therefore, the spring's elastic potential energy decreases and the gravitational potential energy increases.

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The main justification is that pressure decreases with surface area. Rubber hoses are widely used to connect large diameter lines that carry low pressure fluids, like cooling air and engine return oil.

The total area of an object's three-dimensional exterior surfaces, or the sum of its faces, is known as surface area. The main justification is that pressure decreases with surface area. Rubber hoses are widely used to connect large diameter. Its measurement units are square. In other words, the sum of all the areas of all the shapes that cover a surface equals the surface area of the object. A circle's diameter is equal to twice its radius in length. Measuring the distance between the circle's centre and its end allows one to determine the radius.

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The complete questions is -

Large diameter lines carrying low pressure fluids such as engine return oil and cooling air are typically joined by a rubber hose that is slipped over the tube ends and held in place with screw type hose clamps, Why?

Electric field (E) is directly proportional to the voltage (V) and inversely proportional to the distance (L) between the electrodes.

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The electric field will decrease by a factor of two when the distance is increased by a factor of 2 :  V = E×d, E = V/d.

Option A is correct

- Since altering R is not directly proportional to E in the same way that altering the distance L is, increasing L is the most efficient approach.

Electric field, an electric property that is connected to every point in space when any kind of charge is present. The electric field strength, intensity, or simply the electric field is expressed by the value of E, which indicates the magnitude and direction of the electric field.

The area of space around an electrically charged particle or object in which the charge body experiences force is known as an electric field . Examples: Charges and their configurations, such as those of capacitors and battery cells, produce electric fields.

Which of the following changes to the circuit will decrease the electric field between the electrodes by the greatest amount?

A.Increasing L by a factor of 2

B. Decreasing L by a factor of 2

C. Increasing R by a factor of 2

D. Decreasing R by a factor of 2

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The time that elapses between a moment of maximum speed and the next moment of maximum acceleration is 2.43 seconds.

The time that elapses between a moment of maximum speed and the next moment of maximum acceleration is calculated as follows;

V (max) = 2πfA ------ (1)

a (max) = ( 2πf )² A ------ (2)

where;

Since both equations have amplitude, A, we will make A the subject of the formula.

A = (V.max) / ( 2πf)

A =  (a.max) / ( 2πf)²

(V.max) / ( 2πf) = (a.max) / ( 2πf)²

V.max = (a.max) / ( 2πf)

f = (a.max) / ( 2π x V.max)

Period, T, = 1 / f

T = ( 2π x V.max) / a.max

The period of the oscillation is calculated as follows;

T = ( 2π x 2.23 ) / ( 5.77 )

T = 2.43 seconds

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(a) The wavelength of a 300 GHz EM wave propagating in free space is 10 cm.

(b) The frequency of an EM wave with λ = 0.1cm is 3 x 10^7 MHz

(c) The dBm equivalent of 120 dB is 120 dBm if 0dBm corresponds to 1mW = 10^-3 W.

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A 300 GHz electromagnetic wave traveling through free space has a wavelength of 10 cm.

(b) An EM wave with  = 0.1cm has a frequency of 3 x 10⁷ MHz.

(c) The dBm equivalent of 120 dB is 120 dBm if 0 dBm is equivalent to 1mW = 10 ⁻³W.

(a) The equation relates an EM wave's frequency to its wavelength:

= c/f, where f is the frequency of the wave, c is the vacuum speed of light (approximately 3 x 10⁸ m/s), and  is the wavelength.

We can plug in the values to determine the wavelength since the wave has a frequency of 300 GHz:

= c/f = (3 x 10⁸ m/s) / (300 x 10⁹ Hz) = (3/300) x 10⁻¹ m = 0.01 m = 10 cm

(b)  The following equation describes the relationship between an EM wave's frequency and wavelength:  f = c/, where f is the frequency, c is the vacuum light speed (about 3 x 10⁸ m/s), and is the wave's wavelength.

We can plug in the values to determine the frequency because the wave's wavelength is 0.1 cm:

f = c/ = (3 x 10⁸ m/s) / (0.1 x 10⁻² m)

  = (3 x 10⁸ m/s) / (0.1 x 10⁻² m)

   = (3 x 10⁸ m/s) / (0.1 x 10⁻² m)

    = (3 x 10¹⁰ Hz)

    = (3 x 10⁷ MHz)

(c) The power level is expressed in terms of one milliwatt .The formula for converting dBm to watts (W) is as follows:

Given that 0 dBm corresponds to 1 mW = 10⁻³ W, we can use this equation to determine the dBm equivalent of 120 dB: P(dBm) = 10 log10(P(W)/1mW

P(dBm) equals 120 dBm for 10 log10(120/1).

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The volume of the semi circle in cubic centimeters  is 3.75 * 10^22 cm^3

We know that the first step that we would have to take is to be able to get the area of the semi circle and when we do that we are going to have from the values that we have in the question;

A = πr^2

A = area

r = radius

Where r = 2000km or 2 * 10^8 cm

A = 3.142 * (2 * 10^8)^2

A = 1.25 * 10^17 cm^2

Then we would have;

Volume = area * thickness

Thickness = 3000 meters or 3 * 10^5 cm

Volume = 1.25 * 10^17 cm^2 * 3 * 10^5 cm

= 3.75 * 10^22 cm^3

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