How to find the volume of a cylinder - GRE Quantitative Reasoning
Card 1 of 24
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
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Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →
A cylinder with volume of
and a radius of
has its radius doubled. What is the volume of the new cylinder?
A cylinder with volume of and a radius of
has its radius doubled. What is the volume of the new cylinder?
Tap to reveal answer
To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by
:

So, if we have a new radius of
, our volume will be:

To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be:
← Didn't Know|Knew It →
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
← Didn't Know|Knew It →
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →
A cylinder with volume of
and a radius of
has its radius doubled. What is the volume of the new cylinder?
A cylinder with volume of and a radius of
has its radius doubled. What is the volume of the new cylinder?
Tap to reveal answer
To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by
:

So, if we have a new radius of
, our volume will be:

To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be:
← Didn't Know|Knew It →
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
← Didn't Know|Knew It →
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →
A cylinder with volume of
and a radius of
has its radius doubled. What is the volume of the new cylinder?
A cylinder with volume of and a radius of
has its radius doubled. What is the volume of the new cylinder?
Tap to reveal answer
To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by
:

So, if we have a new radius of
, our volume will be:

To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be:
← Didn't Know|Knew It →
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
← Didn't Know|Knew It →
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →
A cylinder with volume of
and a radius of
has its radius doubled. What is the volume of the new cylinder?
A cylinder with volume of and a radius of
has its radius doubled. What is the volume of the new cylinder?
Tap to reveal answer
To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by
:

So, if we have a new radius of
, our volume will be:

To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be:
← Didn't Know|Knew It →
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
← Didn't Know|Knew It →
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →
A cylinder with volume of
and a radius of
has its radius doubled. What is the volume of the new cylinder?
A cylinder with volume of and a radius of
has its radius doubled. What is the volume of the new cylinder?
Tap to reveal answer
To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by
:

So, if we have a new radius of
, our volume will be:

To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be:
← Didn't Know|Knew It →
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
← Didn't Know|Knew It →
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →
A cylinder with volume of
and a radius of
has its radius doubled. What is the volume of the new cylinder?
A cylinder with volume of and a radius of
has its radius doubled. What is the volume of the new cylinder?
Tap to reveal answer
To begin, you must solve for the height of the original cylinder. We know:

For our values, we know:

Now, divide both sides by
:

So, if we have a new radius of
, our volume will be:

To begin, you must solve for the height of the original cylinder. We know:
For our values, we know:
Now, divide both sides by :
So, if we have a new radius of , our volume will be:
← Didn't Know|Knew It →
A cylinder has a height of 4 and a circumference of 16π. What is its volume
A cylinder has a height of 4 and a circumference of 16π. What is its volume
Tap to reveal answer
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
circumference = πd
d = 2r
volume of cylinder = πr2h
r = 8, h = 4
volume = 256π
← Didn't Know|Knew It →
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Rusty is considering making a cylindrical grain silo to store his crops. He has an area that is 6 feet long, 6 feet wide and 12 feet tall to build a cylinder in. What is the maximum volume of grain that he can store in this cylinder?
Tap to reveal answer
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
The maximum cylindrical base can have a diameter of 6 and therefore a radius of 3. The formula for the volume of a cylinder is pi $r^{2}$h, which in this case is 3times 3times 12times pi.
← Didn't Know|Knew It →