Volume of Cylinders, Cones, and Spheres

Volume of a Cylinder

100

If the radius is 5 cm, and the height is 6 cm, what is the volume? Round to the nearest hundreths.

471.24 cm³.

200

Find the volume with a radius of 4 in and a height of 12 in. Round to the nearest hundreths.

603.19 in³

300

The volume of the cylinder with a diameter of 6 mm and a height of 10 mm. Round to the nearest tenths.

282.7 mm³ 

400

If the diameter is 18 m and the height is 3 m, what is the volume? Round to the nearest hundreths.

763.4 m³

500

The radius of a cylinder with a volume of 703.72 ft³ and a height of 3.5 ft.

8 ft

Volume of a Cone

100

The volume of a cone with a height of 3 m and a radius of 3 m. Round to the nearest tenth.

28.3 m³

200

What is the volume of a cone with a diameter of 13 in and a height of 10 in? Round to the nearest tenth.

442.2 in³

300

What is the volume of the cone with a diameter of 52 in and a height of 10 in? Round to the nearest hundreths.

7,079.06 in³

400

Find the volume of a cone with a diameter of 101 m and a height of 27 m. Round to the nearest hundreths.

72,106.62 m³

500

Find the height of a traffic cone cone with a volume of 923.6 in.³ and a radius of 7 in.

18 in.

Volume of a Sphere

100

What is the volume of a sphere with a radius of 3 ft? Round to the nearest hundreths.

113.04 ft³

200

What is the volume of a sphere with a diameter of 32 mi? Round to the nearest hundreths.

17,157.28 mi³

300

A sphere has a diameter of 16 ft. What is the volume of the sphere? Round to the nearest tenth.

2,144.7 ft.³

400

The volume of a hemisphere with a diameter of 6 cm. Round to the nearest hundreths.

56.55 cm³

500

A basketball measuring 12 inches across is cut in half. What is the volume?

452.38 in³

Miscellaneous

100

What is the definition of "Volume".

The amount of space something takes up

200

When calculating volume, what does the "r" stand for?

radius

300

How do you find the diameter if you have the radius?

You would multiply the radius by 2, because the radius is half of the diameter.

400

What is a hemisphere?

half of a sphere

500

The diameter of a sphere with a radius of 134.2 in?

268.4 in

Formulas

100

What is the formula to finding the Area of a Circle?

pi*r²

200

What is the formula to find the Volume of a cylinder?

pi*r²*h

300

What is the formula for the Volume of a cone?

pi*r²*h/3

400

What is the formula for Volume of a Sphere?

4/3 * pi * r³

500

What is the formula for Volume of a Hemisphere?

2/3 * pi * r³