Practice: Volume

Grade 8 Mathematics | Cylinders, Cones, Spheres

Name:
Date:
Formulas: Cylinder: V = pi r^2 h | Cone: V = (1/3) pi r^2 h | Sphere: V = (4/3) pi r^3

Part A: Volume of Cylinders

Directions: Find the volume. Leave answers in terms of pi or round to the nearest tenth.

1. Radius = 5 cm, Height = 12 cm

V = _______ pi cm^3

2. Radius = 7 in, Height = 10 in

V = _______ pi in^3

3. Diameter = 8 m, Height = 15 m

(Watch out! Find radius first!)

V = _______ pi m^3

4. Diameter = 20 ft, Height = 6 ft

V = _______ pi ft^3

Part B: Volume of Cones

Directions: Find the volume. Remember the 1/3!

5. Radius = 6 cm, Height = 9 cm

V = _______ pi cm^3

6. Radius = 3 in, Height = 14 in

V = _______ pi in^3

7. Diameter = 10 m, Height = 12 m

V = _______ pi m^3

8. Diameter = 14 ft, Height = 18 ft

V = _______ pi ft^3

Part C: Volume of Spheres

Directions: Find the volume. Remember r is CUBED!

9. Radius = 3 cm

V = _______ pi cm^3

10. Radius = 6 in

V = _______ pi in^3

11. Diameter = 10 m

V = _______ pi m^3

12. Diameter = 18 ft

V = _______ pi ft^3

Part D: Word Problems

Directions: Solve each problem. Show your work.

13. A cylindrical water tank has a diameter of 4 meters and a height of 6 meters. How many cubic meters of water can it hold?

Volume = _______ pi m^3 = approximately _______ m^3

14. An ice cream cone has a radius of 2 cm and a height of 10 cm. What is the volume of the cone?

Volume = _______ pi cm^3 = approximately _______ cm^3

15. A basketball has a diameter of 9.4 inches. What is its volume? Round to the nearest cubic inch.

Volume = approximately _______ in^3

16. A storage silo is shaped like a cylinder topped with a hemisphere (half sphere). The radius is 8 feet and the cylinder height is 20 feet. Find the total volume.

Total Volume = _______ pi ft^3

Challenge: Think About It!

17. A cone, cylinder, and sphere all have the same radius r. The cone and cylinder both have height h = 2r. Which has the greatest volume? Show your work.

18. If you double the radius of a sphere, how many times greater is the new volume? Explain.