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.

   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. 2.

   Zee's toy rocket: a cylinder body (radius 3 cm, height 10 cm) with a cone nose (same radius, height 6 cm) on top. What is its volume in cubic cm? Use π = 3.14.

   339.12
4. 3.

   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.

   Use the picture in question 2.

   552.64
5. 4.

   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 2.

   12.56
6. 5.

   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
7. 6.

   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
8. 7.

   Kira's toy volcano is a cone with a volume of 39.25 cubic cm and a height of 6 cm. What is its radius, in cm? Use π = 3.14.

   2.5
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.

    Noah has two toy volcanoes with the same height. The second one's radius is 4 times as long as the first one's. How many times as much does the second hold?

    16
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