Well, we would find the volume of both the cylinder and the cone.
The formula to find the volume of a cylinder is V = \pi r^{2} h.
The formula to find the volume of a cone is V = \frac{1}{3} \pi r^{2} h.
Now, when using pi (the symbol \pi ), if the problem asks to use the approximate value of pi as 3.14, we'll use 3.14 to represent pi. If the problem asks for the exact answer, then we'll just put the pi sign next to our final answer we've gotten.
We can do both ways to solve with pi. Tho let's solve using the approximate value of pi.
One more thing. When there's an exponent in the problem, (such as r^{2} in the problem), that just means you would multiply the base, (which is r in r^{2} ), by itself the number of times the exponent, (which is the number 2 in r^{2} ), shows. For example, if it was 3^{2} , that would just mean we would multiply 3 times itself twice. So 3^{2} would be the same as 3 times 3, which is 9. When you deal with variables in a problem, (the letters used to represent a value in the equation, such as a, b, c, d, etc.), they're solved in multiple ways. If a number is next to a variable, (for example, 3b), it would mean you are supposed to multiply the number times the variable. If a number is next to parenthesis, that would mean you would multiply the number times the answer from the parenthesis. In formulas, when all the letters and numbers are squished together in one line, that means you would multiply all of them times each other after they're individually solved. In this problem, r = radius and h = height.
So without further-a-do, let's begin! :)
So the question says that the radius of the cylinder is 10 centimeters, and the height is 20 centimeters. According to the formula given above, we would multiply the radius times itself twice, which would be 10 times 10, which equals 100, then multiply it by the height which is 20, so 100 times 20 = 2,000. If we were to find the exact volume, it would be 2,000 with the pi sign next to it, which would be 2,000 \pi . Though, let's find the volume with the approximate value of pi, 3.14. So 2,000 times 3.14 is 6280. The exact volume of the cylinder is 2,000 \pi and the approximate volume is 6280.
Now after we find the volume of the cone, we would need to find out how many times we'd need to use the cone to fill up the cylinder's volume.
To find the volume of the cone, we would do the same as last time. Since the cone's radius is 5 centimeters, and its height is 10 centimeters, we would first multiply the radius times itself twice, which would be 5 times 5, which is 25, then multiply that by the height, which would be 25 times 10, which is 250. The fraction part of the formula means this- the numerator "1" means you would multiply what you have so far times 1, and the denominator "3" means you will divide what you have so far NOW by 3. So 250 times 1 = 250, and 250 divided by 3 = 83.3333333333, though we'd say that answer up to the hundredths place, which would be 83.33. If you need the exact answer, we'd put the pi sign next to it as 83.33 \pi , and you're done.Tho we didn't find the approximate volume of the cone.So we'd trace back to what answer we had before moving on to the step with the fraction \frac{1}{3} . Since we were on 250, we'd multiply that by 3.14, which is 785, and continue with what we did with the fraction. 785 times 1 = 785, and 785 divided by 3 = 261.666666667, and saying the answer up to the hundredths place, the approximate volume of the cone would be 261.66
Now since we know the volume of the cylinder, exact = 2,000 \pi and approximate volume = 6280, this means this is how much of the cylinder should be filled when we use the cone to pour in the water.
We could easily determine this by division.
Finding with the exact volume, you would do 2,000 (from cylinder's volume) divided by 83.33 (from cone's volume), which is 24.0009600384, and since it's not a whole answer, you would move it up a whole number. Why you may ask? Well you can't pour 0.0009600384 of a cone's volume into the cylinder now can you? :P So it would take 25 times of pouring the cone filled with water into the cylinder in order for the cylinder to be full using the exact volumes of both objects.
Now finding with the approximate volumes of both objects, we'd do the same we did last time. The cylinder's volume divided by the cone's volume, which is 6280 divided by 261.66, would be 24.0006114805, and saying the answer up to the hundredths place, 24.00, but for the same reason as the last one when we were using the exact volumes, we'd round 24 up a whole number, so it would approximately take 25 times to fill the cylinder with the cone.
Either way, using exact or approximate volumes, your final answer would be 25 times. =DI hope I helped! ^-^
By calculating the volume of cone and cylinder, we find that one need to 24 times use the completely filled cone to completely fill the cylinder with water.
What is volume of cone and cylinder?
The volume of cylinder is equal to the product of the area of the circular base and the height of the cylinder.
The volume of cone will be equal to one-third of the product of the area of the base and its height.
For a cylinder, the formula is πr²h. For a cone it is 1⁄3πr²h.
Volume of cylinder = π[tex]r^{2}[/tex]h = π * 10* 10 * 20 = 2000π
Volume of cone = [tex]\frac{1}{3}[/tex]*π[tex]r^{2}[/tex]h = 1/3 * π * 5 * 5 * 10 = 250 π/3
Number of times one needs to use the completely filled cone to completely fill the cylinder with water =
= Volume of cylinder/Volume of cone
= 2000π / (250π/3) = 24
Learn more about volume of cone and cylinder here
https://brainly.com/question/16007458
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Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
$12 million
Step-by-step explanation:
Vertex form of a quadratic equation:
y=a(x-h)^2+k
where (h,k) is the vertex.
The vertex is (5,12), and it is a maximum since a is negative.
Therefore, the maximum value is $12 million.
L+S = 17 3L + 2S=46
Please show your work
Answer:
S= 5, L= 12
Step-by-step explanation:
To find the value of L and S, we need to first label the 2 equations.
L +S= 17 -----(1)
3L +2S= 46 -----(2)
From (1):
L= 17 -S -----(3) (-S on both sides)
Subst. (3) into (2):
3(17-S) +2S= 46
3(17) -3S +2S= 46 (expand)
51 -S= 46
-S= 46 -51 (-51 on both sides)
-S= -5
S= 5 (divide by -1 throughout)
Subst. S=5 into (3):
L= 17 -5
L= 12
Which two equations represent parallel lines?
A. Y=2x-5
B. Y=-1 over 2x +5
C. Y=1over2x-5
D. Y=2x+ 5
And why?
Answer:
A&D
Step-by-step explanation:
Lines with the same slope are parallel. 2x-5 and 2x+5 have the same slope
Answer:
A and D are parallel.
Step-by-step explanation:
Refer to the slope-intercept equation (y = mx + b).
M = the slope
If the slopes are equal, then the lines are parallel.
The slope for line A is 2, and so is the slope for line D.
Line A and line D are parallel.
Which is the balanced equation for S3 + O2 – SO2?
O O O O
S8 + 016 — 8S02
Se + O₂ → S₂ + O2
Se + O₂ → S₂0₂
Sg + 802 – 8802
Only need answer A answered please
HEY MATE HERE IS UR ANSWER
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
FOLLOW ME AND MARK AS BRAINLIEST AND CHAT INBOX
What is $ 1.20 x 5 =? My brain is not working! LOL!
Answer:
6.25
Step-by-step explanation:
=1.20*5
=6.25
Answer:
6
Step-by-step explanation:
1.20 x 5 = 6
6/5 = 1.20
2y/5y cube + 4y square + 6y
Answer:
here down is the answer
(2y/5y)^3+4y^2+6y
8y^3/125y^3 +16y^2+6y
8/125+16y^2+6y
8/125+16y^2+6y=0
16y^2+6y+8/125=0
it is in the form of quadratic equation
formula :
x=(-b+-square root of b^2-4ac) /2a
here a=16,b=6&c=8/125
x=(-b+-square root of b^2-4ac)/2a
x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation
x=(-6+-31.91)/2
so
x=(-6+31.91)/2 first (+);
x=25.91/2
x=12.955;
x=(-6-31.91)/2 then(-);
x=-37.91/2
x=-18.955 ;
ans is = 12.955&-18.955;
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
Pleas help !!!
Choices
X= -1
Y = -1
X = 1
Y= 1
Answer:
x=-1
Step-by-step explanation:
The axis of symmetry is along the vertex
The vertex is at (-1,-2)
The x coordinate is -1
x=-1
which method can be used to solve 11x13
Answer:
Simple column method
Step-by-step explanation:
11
x 13
33
110
143
Answer:
Use the grid method, since it is the most obvious option. But, you may also use the distribution method.
Step-by-step explanation:
Distribution method:
divide 13 into 10 +3
then multiply 11 with 10 and 3 individually.
This can be written as 11(10+3) = 110+33 = 143
Please mark brainiest
the transformation shown is a rotation
true or false
Answer:
True
Step-by-step explanation:
Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabbit pen. the dimensions of the rectangular rabbit pen are 14 by 10. what is the area of the garage?
Answer: 196
Step-by-step explanation:
Just answered this...
14x14=196
Given f(x) = –3x – 4, find f(–5).
Answer:
3x
Step-by-step explanation:
because if f is -5, -5=-3x-4, -5+4, -1=-3 divide and get 3=x
Miquel babysits for 3 hours and eams $15. Which represents the unit rate?
0 $1 per 5 hours
O $15 per hour
0 1 hour per $5
o 55 per hour
Answer:
$5 per hour.
Step-by-step explanation:
$15 per 3 hours.
[tex]15/3=5[/tex]
[tex]3/3=1[/tex]
$5 per 1 hour.
IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)
A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].
The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.
[tex]
x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\
y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2
[/tex]
Now insert the numbers.
[tex]
x_1=2(-2)-(-6)=2 \\
y_1=2(-1)-4=-6
[/tex]
The result is an endpoint at [tex](2,-6)[/tex].
Help plz!!!!!!
−3(4 − a) = 6
Answer:
a = 6
Step-by-step explanation:
use distribution method:
-3(4-a) = 6
-12+3a = 6
3a = 6+12
3a = 18
a = 18/3 = 6
_____________________________
Hey!!
Solution,
-3(4-a)=6
or, -12+3a=6
or, 3a=6+12
or, 3a=18
or,a=18/3
a=6
So the value of X is 6.hope it helps..
Good luck on your assignment
___________________________
a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =
Answer:
n =3
Step-by-step explanation:
20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.
when simplified, you get 1:3
Answer:
1:30
Step-by-step explanation:
minutes : hour
20 : 1
convert the hour into minutes
1 hr = 60 minds
20 : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1 : 30
Escribe una ecuación en la forma pendiente interceptó para la línea descrita
Ejemplo 1: pendiente 1.5 , pasa por (0,5)
fórmula y=mx+b
Ayuden por favor
Answer:
Pendiente-Intercepto:
pendiente = 1.5, intercepto = 5
Ecuacion: y = 1.5x+5
Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work
Answer: 12i + 21
Step-by-step explanation:
You want to apply foil to the first two terms.
3 x 1 = 35i x 3 = 15i-4i x 1 = -4i-4i x 5i = -20i^2You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20
So far you have (11i + 23) - (-i + 2).
11i + i = 12i23 - 2 = 21Im 99% sure the answer is 12i + 21
11. In a group of six young pupils the mean weekly amount of pocket money is £5. When a new pupil joins, the mean weekly pocket money increases to £6. What does the new pupil receive each week ?
Answer:
£12
Step-by-step explanation:
Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.
Now, when they were 6 and the mean is £5, this means that the total is simply
6 * 5 = £30
Now, when a new student join, there is an increase in the value of the mean.
A new student joining means they are now 7 with the total now 7 * £6 = £42
Now the difference between the total of 6 and 7 will be £42 - £30 = £12
This value represents what the new pupil receive each week
Associative
Property
Answer:
Below
Step-by-step explanation:
The associative property states that you can add or multiply numbers in any group.
Ex:
x + y + z = x + y + z
(x + y) + z = x + (y + z)
x * y * z = x * y * z
(x * z) * y = (x * y) * z
Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.
Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.
Division and Subtraction = NO ASSOCIATIVE PROPERTY
Kelsey received 9 birthday gifts from her friends. Three gifts were wrapped in yellow
paper, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, and
1 gift was wrapped in orange paper. What is the probability that the first gift Kelsey
opened was wrapped in purple paper?
Answer: 2/9
Step-by-step explanation:
From the question, we are told that
Kelsey received 9 birthday gifts from her friends and that three of the gifts were wrapped in yellow
paper. Also, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, while the remaining
1 gift was wrapped in orange paper.
The probability that the first gift will be in purple paper will be the number of gifts in purple paper divided by the total number of gifts. This will be:
= 2/9
PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.
Answer:
The other leg is about 21.3 cm
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
11²+b²=24²
121+b²=576
Subtract 121 from both sides
b²=455
b=[tex]\sqrt{455}[/tex]
b≈21.3
Answer:
21.3 cm
Step-by-step explanation:
We need to apply the Pythagorean Theorem.
The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:
a² + b² = c²
Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:
a² + b² = c²
11² + b² = 24²
121 + b² = 576
b² = 576 - 121 = 455
b = √(455) ≈ 21.3 cm
Thus, the answer is 21.3 cm.
~ an aesthetics lover
Write the equation in standard form: 3x + 1 = 2y
3x + 2y = 1
3x + 2y = –1
3x – 2y = –1
3x – 2y = 1
Answer:
3x+2y=-1
Step-by-step explanation:
moving the numbers around, the outcome will have to be different
// have a great day //
Answer:
c) 3x - 2y = -1
Step-by-step explanation:
Given equation,
→ 3x + 1 = 2y
Conversion into standard form,
→ 3x + 1 = 2y
→ 3x + 1 - 2y = 0
→ 3x - 2y = -1
Hence, option (c) is correct.
Factor completely 10x2 + 2x − 8
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?
Answer:
2,752
Step-by-step explanation:
English Translation
A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?
Solution
1 man was going to Bahia
With his 7 sisters.
Total nunber of humans = 1 + 7 = 8 humans
Each of the 7 sisters carried 7 boxes.
Each of the 49 boxes had 7 cats
Total number of cats = 7 × 7 × 7 = 343 cats
Each of the 343 cats had 7 puppies
Total number of puppies = 7 × 343 = 2401 puppies.
Total number of living things going to Bahia
8 humans + 343 cats + 2401 puppies
= 2,752
Hope this Helps!!!
An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.
Guess my rule. PLS HELP ME I BEG
Answer:
12,22,2002, 4x, 5x
Step-by-step explanation:
The rule is x2 +2
Not sure on the last 4
Sorry I answered late.
I will mark you brainliest!!! Identify the exponential function shown in the graph.
Answer:
Letter B.
Step-by-step explanation:
Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.
