Volume of Cylinders
Volume of Cones
Volume of Spheres
Word Problems
Formulas
100

Radius = 6 yd Height = 11yd

Use 3.14 for pi.

1244.1 cubic yards

100

Radius = 11 ft Height = 15 ft

Use 3.14 for pi.

1900.7 cubic ft

100

Radius = 6 in

Use 3.14 for pi.

904.8 cubic in

100

Sarah has a PVC cylinder pipe with a diameter of 10 inches and a height of 2 inches, how much material will it hold?

157.1 in3

100

Pi times radius squared times height.

the formula for volume of a cylinder

200

Radius = 2 cm Height = 4 cm

Use 3.14 for pi.

50.3 cubic cm

200

Radius = 5 mm Height = 7 mm

Use 3.14 for pi.

183.3 cubic mm

200

Hemisphere with a Radius = 3.2 in

Use 3.14 for pi.

68.6 cubic in

200

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup? 


66 ft3

200

One-third times pi times radius squared times height.

 the formula for volume of a Cone

300

Diameter = 26 m Height = 8 m

Use 3.14 for pi.

4247.4 cubic m

300

Diameter = 7 in Height = 9 in

Use 3.14 for pi.

115.5 cubic in

300

Diameter = 7.5 in

Use 3.14 for pi.

220.9 cubic in

300

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14. 

88.3 ft3

300

Four thirds multiplied by pi multiplied by the radius cubed?

the formula for the volume of a sphere

400

Diameter = 8.75 in Height = 5.5 in

Use 3.14 for pi.

330.7 cubic in

400

Diameter = 1.9 in Height = 4.5 in

Use 3.14 for pi.

4.3 cubic in

400

Hemisphere with Diameter = 8.4 ft

Use 3.14 for pi.

155.2 cubic ft

400

A deflated basketball is only 25% filled with air. Calculate how much air must be pumped into a basketball with a diameter of 6 inches.

84.7 in3

400

Pi times radius squared

 the formula for the area of a circle

500

Diameter = 26 cm Height = 12 cm

Use 3.14 for pi.

6371.1 cubic cm

500

Radius = 40.5 m Height = 65.1 m

Use 3.14 for pi.

111,820.0 cubic m

500

Radius = 6.8 ft

Use 3.14 for pi.

1317.1 cubic ft

500

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

942 ft3

500

One half times four-thirds times pi times the radius cubed.

the formula for the volume of a hemisphere

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