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Example Questions
Example Question #1 : Volume Of A Cylinder
A cylinder has a radius of 4 inches and a height of 5 inches. What is the volume of the cylinder?
The formula for the volume of the cylinder is , where
is the radius and
is the height. Plug in the lengths we are given to solve:
The cylinder has a volume of .
Example Question #1 : Volume Of A Cylinder
What is the volume of a cylinder with a height of 20 and a radius of 10?
The volume of a cylinder is given by the formula:
with and
, the equation is:
,
Thus, , or
Example Question #1 : Volume Of A Cylinder
What is the volume of a cylinder with a diameter equal to and height equal to
?
If the diameter is 6, then the radius is half of 6, or 3.
Plug this radius into the formula for the volume of a cylinder:
Example Question #4 : Volume Of A Cylinder
Find the volume of the cylinder.
Jared buys a can of chicken noodle soup for dinner. The height of the can is . The radius of the can is
. What is the volume of the can?
The correct answer to the question is .
We know that a can is a cylinder. We also know that the formula for the volume of a cylinder is .
Plug in the numbers we are given:
Once we multiply these numbers, we get .
The unit for our answer is since we are solving a volume problem.
Example Question #5 : Volume Of A Cylinder
Find the volume of a cylinder that has a radius of 2 inches and a height of 10 inches.
Radius = 2 Inches
Height = 10
Example Question #6 : Volume Of A Cylinder
Find the volume of a cylinder with a diameter of 1 and a height of 2.
Write the formula for the volume of a cylinder.
Find the radius by dividing the diameter by 2.
Example Question #231 : Geometry
The area of the circular base of a cylinder is . The height of the cylinder is
. What is the volume of the cylinder?
Write the formula to find the volume of the cylinder.
The term represents the area of the circular base. Multiply the given area and the height to obtain the area.
Example Question #2 : Volume Of A Cylinder
Find the volume of a cylinder if the radius is 2 and the height is 12.
Write the volume formula for a cylinder.
Substitute the dimensions.
Example Question #3 : Volume Of A Cylinder
Find the volume of a cylinder with a radius and height of .
Write the formula for the volume of a cylinder.
Substitute the dimensions.
Example Question #10 : Volume Of A Cylinder
Find the volume of a cylinder with a base area of and a height of
.
Write the formula to find the volume of the cylinder.
Because the base of the cylinder is a circle, the term represents the area of the circular base, which is already given.
Multiply the area with the height to obtain the volume.
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