Volume of Cylinders and Cones

Volume of Cylinders

A cylindrical stack of coins and the dimensions of an individual coin are shown below.
If you needed to find the amount of three-dimensional space taken up by the stack of
coins, how could you use the dimensions of the individual coin to help?

Volume

- Volume is the amount of three -dimensional space occupied
by an object. Volume can also be referred to as capacity.

Volume of
Cylinders

-To find the volume of a cylinder, multiply the area of the base
by the height of the cylinder.

-The base of a cylinder is always a circle , so the find the area
of the base, use the formula πr²

Find the volume of each cylinder. Round your answers to
the nearest hundredth.

Formula: ________________

Formula: ________________

Formula: ________________

Plug in Values: ________________

Plug in Values: ________________

Plug in Values: ________________

Volume:________________

Volume:________________

Volume:________________

Match

Match the following

452.16

502.4

196.25

• 452.16

• 502.4

• 196.25

Use what you learned about the volume of cylinders to
answer the question below.

7. The area of the base of a cylinder is 150 square inches. If the volume of the
cylinder is 1,050in3, what is the height of the cylinder?

Math Response

7. The area of the base of a cylinder is 150 square inches. If the volume of the cylinder is 1,050in³, what is the height of the cylinder?

Type answer here

Correct Answer: 7

Deg^°

Rad

Volume of Cones

Examples 1 and 2 below show a cylinder and a cone with the same height
and radius, as well as their volumes. Observe the examples and answer the
questions that follow.

Volume of

Cones

-The volume of a cone will always be 1/3 the volume of a cylinder
with the same height and radius.

- The formula for the volume of a cone is V=1/3Bh , or V= Bh/3 .

-Since the base of a cone is a circle, the area of the base, B, is
found using πr²

Find the volume of each cone. Round your answers to the
nearest hundredth.

Formula: ________________

Formula: ________________

Formula: ________________

Plug in Values: ________________

Plug in Values: ________________

Plug in Values: ________________

Volume:________________

Volume:________________

Volume:________________

Match

Match the following

1266.47

314

52.33

• 1266.47

• 314

• 52.33

Answer the question below and be sure to show all work.

4. A cone has a radius of 8 inches and a height of 2 inches. Find the volume of the
cone to the nearest hundredth.

Math Response

4. A cone has a radius of 8 inches and a height of 2 inches. Find the volume of the cone to the nearest hundredth.

Type answer here

Correct Answer: 133.97

Deg^°

Rad