Volume of cones and spheres

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Luz fills a can with a cone of water. The cone: radius 3 cm, height 6 cm. The can: radius 6 cm, height 6 cm. How many full cones of water fill the can?

   12
2. 2.

   Noah fills a can with a cone of water. The cone: radius 3 cm, height 12 cm. The can: radius 12 cm, height 15 cm. How many full cones of water fill the can?

   60
3. 3.

   Pia's ball (radius 4.5 cm) fits snugly in a can as tall as it is wide. How many cubic cm of air surround it? Use π = 3.14. Do not round.

   190.755
5. 4.

   Ari's castle tower: a cylinder tower (radius 4 cm, height 9 cm) with a cone roof (same radius, height 6 cm) on top. What is its volume in cubic cm? Use π = 3.14.

   552.64
6. 5.

   Bo's new pencil: a cylinder body (radius 0.5 cm, height 15 cm) with a cone tip (same radius, height 3 cm) on top. What is its volume in cubic cm? Use π = 3.14.

   Use the picture in question 4.

   12.56
7. 6.

   Esme's castle roof is a cone with a volume of 307.72 cubic cm and a height of 6 cm. What is its radius, in cm? Use π = 3.14.

   7
8. 7.

   Jun's toy volcano is a cone with a volume of 75.36 cubic cm and a height of 8 cm. What is its radius, in cm? Use π = 3.14.

   3
9. 8.

   Luz has two balls. The second ball's radius is 2 times as long as the first one's. How many times as much does the second ball hold?

   8
10. 9.

    Milo has two balls. The second ball's radius is 3 times as long as the first one's. How many times as much does the second ball hold?

    27
11. 10.

    Pia has two castle roofs with the same height. The second one's radius is 5 times as long as the first one's. How many times as much does the second hold?

    25