8.5 End-of-Unit Review

A cone has a volume of  $60\ cm^3$ . What is the volume of a cylinder with the same radius and height?  

•  $20\ cm^3$  

•  $60\ cm^3$  

•  $180\ cm^3$  

•  $3600\ cm^3$  

For the sphere shown, r = 4.2 cm.

What is its volume, to the nearest cubic cm?

• 55

• 310

• 931

• 2,481

A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its height to the nearest tenth

of a meter.

• 35

• 3.5

• 3.51

• 45.3

Cones A and B both have volume 24𝜋 cubic units but have different dimensions.

Cone A has radius of 3 units and height 8 units.

Find one possible radius and height for Cone B. Explain how you know Cone B has the same volume as Cone A.

There are many cylinders with a height of 5 inches. Let 𝑟 represent the radius in inches and 𝑉 represent the volume in cubic inches.

Complete the table relating the radius and volume of cylinders with height 5 inches. Write

each volume as a multiple of 𝜋, or round to the nearest cubic inch.

1 |

2 |

3 |