Price Cylinders, Cones, and Spheres

Cylinder Volume

100

What is the volume of a cylinder radius = 3 inches height = 7 inches

63π in³ or 197.82 in³

200

What is the volume of the cylinder radius = 2 feet height = 10 feet

40π ft³  or 125.6 ft³

300

What is the volume of a pipe that is 8 cm across and 12 cm tall?

192π cm³ or 602.88 cm³

400

What is the volume of a bean can that is 6 meters across and 10 meters high?

90π m³ or 282.6 m³

500

A cylinder has a volume of 49π cubic inches and a height of 4 inches. What is the radius?

3.5 inches

Cone Volume

100

What is the volume of the cone radius = 9 height = 6

162π units³ or 508.68 units³

200

What is the volume of the cone? radius = 2 mm height = 60 mm

80π mm³ or 251.2 mm³

300

A snow cone is 18 cm across and 9 cm tall. What is the volume of the snow cone?

243π cm³ or 763.02 cm³

400

A funnel is 12 inches across and 18 inches tall. What is the volume of the funnel?

216π in³ or 678.24 in³

500

A cone has a volume of 242π cubic inches and a height of 6 inches. What is the radius?

11 inches

Sphere Volume

100

Find the volume of the sphere radius = 9

972π units³ or 3052.08 units³

200

Find the volume of the sphere radius = 3

36π units³ or 113.04 units³

300

A tennis ball measuring 5 inches across has what volume?

20.8π inches³ or 65.312 in³

400

An exercise ball measuring 3.2 feet across has what volume of air?

5.5π ft³ or 17.27 ft³

500

A sphere has a volume of 2304π cubic mm. What is the radius?

12 mm

Mixed Questions

100

A circle has a diameter of 20 miles. What is its area, using 3.14 as an approximation for pi? 

314 square miles

200

Which volume is greater? 

20π cubic feet     or          62 cubic feet

20π cubic feet

300

A cone and cylinder have the same dimensions. The cylinder has a volume of 60π cubic units. What is the volume of the cone?

20π cubic units

400

A cone and cylinder have the same dimensions. The cone has a volume of 60π cubic units. What is the volume of the cylinder?

180π cubic units

500

Find the total volume of a cylinder with a sphere resting on the top. The radius of both is 5 inches with a total height of 17 inches. 

This is a bonus question worth 1000 points!

1072.83 in³ or 341.6666π in³    

Bonus

100

What is Ms. Price's favorite color?

Blue

200

How many siblings does Ms. Price have?

Four

300

What year did Ms. Price graduate high school?

2020

400

What is Ms. Price's favorite number?

9

500

How much higher of a percent did Ms. Price get in Calc 3 than Mr. Schaefer?

96%