A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters​

Answers

Answer 1

Answer:

The volume remaining is approximately  536 cm³

Step-by-step explanation:

The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:

[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]

While the volume of the cone is:

[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]

What remains on the hemisphere is the difference between these volumes, therefore:

[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]

The volume remaining is approximately  536 cm³


Related Questions

Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = XY?

Answers

Answer:

well considering it is length it could be anything i think

if XZ= 45

then XY could also be 45

and then YZ would be 17

equation of a line pass through origin in called

Answers

The equation of a straight line with gradient m passing through the origin is:

[tex]\displaystyle y=mx[/tex]

The line passes through the origin, so the y-intercept is [tex]0[/tex]

[tex]\displaystyle y=mx+b[/tex]

[tex]\displaystyle y=mx+0[/tex]

[tex]\displaystyle y=mx[/tex]

Factor: b2-3b-4

Multiplying Quadratics—Box Method

Answers

Hey there! :)

Answer:

(b - 4)(b + 1)

Step-by-step explanation:

b² - 3b - 4

Factor by determining which numbers add up to -3 and multiply to equal -4.

-4 + 1 = -3

-4 × 1 = -4

Therefore, in factored form, the equation would be:

(b -4)(b + 1)

Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?

Please help me, thank you very much!! <3

Answers

Answer:

5 dimes 2 nickels 10 quarters

Step-by-step explanation:

Let n = number of nickels

      d = number of dimes

      q = number of quarters

n = d - 3 (The number of nickles was 3 less than the number of dimes)

d= q - 5 (The number of dimes was 5 more than the number of quarters)

0.05n + 0.1d + 0.25q = 3.1

Use substitution:

n=q-8

0.05n + 0.1d + 0.25q = 3.1

0.05(q-8) + 0.1(q-5) + 0.25q = 3.1

0.05q-.4 + 0.1q -.5 +0.25q = 3.1

0.4q-0.9=3.1

0.4q=4

q = 10

n =q-8    n = 10-8     n=2

d=q - 5     d = 10-5     d = 5

Please help. 10 points and brainliest.

Answers

Answer:

D

Step-by-step explanation:

sqrt(20*x^6*y^5)

sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)

2x^3*y^2*sqrt(5y)

this is D

According to the general equation for conditional probability, if P(AuB)=3/7
and P(B) =7/8
what is P(AB)?​

Answers

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer:

24/49

Step-by-step explanation:

I took the quizz

Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?

Answers

Answer:

$13.06

Step-by-step explanation:

There are five people so 65.30/5 = 13.06

Help please I need the answer

Answers

____________________________________

Hey!!

Solution,

Diameter (d)=17 cm

Radius(r)=17/2=8.5 cm

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*8.5

=53.38 cm

The right answer is 53.4cm

Hope it helps

Good luck on your assignment

_________________________________

I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the distance between 3/4 and 2
A. 3/4 - 2
B. 2-(-3/4)
C. None Of the above
this is on khan academy and I really need help

Answers

A: 3/4 - 2.

Hope this helped!

Answer:

its A

Step-by-step explanation:

Find the value of x in the triangle shown below.

Answers

Answer: 50

Step-by-step explanation:

180-80 = 100

100 divided by 2 = 50

X=50

1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit

Answers

Answer: 181.46 square inches

Step-by-step explanation:

Area = pi ˣ r squared

Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.

simplify x2-9/x2+x-12

Answers

(x + 3) (x² - 2x - 6)

______________

             x

Answer: (x^4 + x^3 - 12x^2 - 9 ) / x^2

Step-by-step explanation:

x^2 - 9/x^2 +x - 12

(x^2 - 9 + x^3 - 12x^2)/x^2

Find the perimeter of the following shape:
A. 10.8
B. 11
C. 11.4
D. 11.6

Answers

Answer:

A: 10.8

Step-by-step explanation:

AD = BC

AB = DC

2AD + 2AB

AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622

AD ≈ 3.1622

AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236

AB ≈ 2.236

2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8

£60 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Richard get?

Answers

Answer: £18

Step-by-step explanation:

let Bridget get £x,

Stephen gets 3x, Richard gets 2(3x)

Equation is x + 3x + 6x = 60

10x = 60: x = 60/40 = 6

Bridget gets £6

Stephen gets 3x = 3 x 6 = £18

Richard gets 2(3x) = 2 x 18 = £36

which of the following rational functions is graphed below?​

Answers

Answer:

B.

Step-by-step explanation:

According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)

so our function should be :

[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]

Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem

Answers

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation:

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi   or  (40*pi)/3

Area of the shaded regions is equal to 7π/3

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: radius of the smaller circle= 3 and larger circle =4 cm

Now A = (θ/360°) × πr2

θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.

Thus we have  Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3

                                              =16π/3 -3π

                                               =7π/3

Hence, Area of the shaded regions is equal to 7π/3

Learn more about circle here:

https://brainly.com/question/14200825

#SPJ2

NEED HELP. as soon as possible​

Answers

do you still need help with this?

Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays every sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?

Answers

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

Answer:

Wednesday, October 10

Step-by-step explanation:

David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, ...

The smallest multiple of 12 that is a multiple of 7 is 84.

The first day all of them play together after July 18th is 84 days later.

84/7 = 12

We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.

Answer: Wednesday, October 10.

Wyatt uses 3.15 cups of flour in a
recipe that makes 9 shortcakes. Cora
uses 2.4 cups of flour in a recipe that
makes 8 shortcakes. How much more
flower per shortcake is needed for
Cora’s recipe?

Answers

Answer:

Step-by-step explanation:

Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.

To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!    

Answer:

1/20 cups

Step-by-step explanation:

Wyatt

3.15/9=315/900=7/20

Cora:

2.4/8=24/80=3/10

The difference:

7/20-3/10=7/20-6/20=1/20 cups

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?

Answers

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

y= 3x+7
y = -2x - 3
Whats the x and y for the solution

Answers

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

y=3(-2)+7=-15+7=1

Hope this helps!

Can someone help me on this?

Answers

Answer:

the triangle PQR is similar to RTS

Step-by-step explanation:

QR : RT

2 : 6

this 1:3 ratio is also seen in PR (4) with RS (12)

The opposite of the original statement. These statements are also called the inverse of a conditional statement.

Answers

Answer:

Negation is the correct answer to the given question

Step-by-step explanation:

The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the  conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .

For example :

F:      Number is 5.

~F:    Number is not 5.

Conditional statement         Negation(~)

True                                          False

False                                         True

All the other option are not determine the inverse of the conditional statement so these are incorrect option .

Simplify the following expression.
4 - (x - 3)

Answers

-x + 7
C: your welcome

Answer:

4 - (x - 3) =  - x + 7

Step-by-step explanation:

12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?

Answers

Vie kib 356
Ghu
Jogg
780:3 okn 2455!

Explain how to angles can be supplementary angles?

Answers

Answer:

if the sum of all the angles equal 180

Step-by-step explanation:

the sum equals 180 ...

Simplify (or FOIL) the following binomial expression (x−2)(x−2)

Answers

Answer:

x^2-4x+4

Step-by-step explanation:

x^2-2x-2x+4

=x^2-4x+4

Hi All,

I have some Maths Questions for you all to have a look at.

Please answer - I am giving 20 points!

I will mark Brainliest as well.

Take care,

Jake

Answers

Answer:

The modal is 6 and the median is 6

Step-by-step explanation:

please answer this questions

Answers

Answer:

Step-by-step explanation: since ab||ef, line cd is a transversal

x+35°=85° (alternate interior angles)

x=85-35

x= 50°

taking bd as a transversal

y= 35° (alternate interior angles)

taking bz as a transversal

y+z+40°= 180° (interior angles on the same side of the transversal)

z+35°+40°= 180°

z+75°= 180°

z= 180-75

z= 105°

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

x = 50 degree found by working out c and d

y = 35 degree

z = 105 degree

Step-by-step explanation:

c is solved 180-85 = 95 as all straight lines equal (180)

d is solved 85-35 = 50 as it is alternate of c (85)

x is found  85 - 35 = 50 degree as it is part of d and not supplementary

y is found  180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.

z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle

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