Volume of cones and spheres

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

2. 1.

   Ari's toy volcano is a cone. A cylinder with the same base and height holds 150.72 cubic cm. What is the volume of the toy volcano, in cubic cm?

   50.24
3. 2.

   Esme's turret roof is a cone. A cylinder with the same base and height holds 169.56 cubic cm. What is the volume of the turret roof, in cubic cm?

   Use the picture in question 1.

   56.52
4. 3.

   Jun's soil pile is a cone. A cylinder with the same base and height holds 113.04 cubic ft. What is the volume of the soil pile, in cubic ft?

   Use the picture in question 1.

   37.68
5. 4.

   Kira's soil mound is a cone. A cylinder with the same base and height holds 235.5 cubic ft. What is the volume of the soil mound, in cubic ft?

   Use the picture in question 1.

   78.5
6. 5.

   Luz's toy volcano is a cone with a base of 50.24 square cm and a height of 6 cm. What is its volume in cubic cm?

   100.48
7. 6.

   Noah's turret roof is a cone with a base of 28.26 square cm and a height of 7 cm. What is its volume in cubic cm?

   65.94
8. 7.

   Pia's soil pile is a cone with a base of 113.04 square ft and a height of 5 ft. What is its volume in cubic ft?

   188.4
9. 8.

   Ren's turret roof is a cone with a base of 12.56 square cm and a height of 6 cm. What is its volume in cubic cm?

   25.12
10. 9.

    Tala's ball (radius 3 cm) fits snugly in a can as tall as the ball is wide. The can holds 169.56 cubic cm. What is the ball's volume in cubic cm?

    113.04
11. 10.

    Ari's ball (radius 6 cm) fits snugly in a can as tall as the ball is wide. The can holds 1356.48 cubic cm. What is the ball's volume in cubic cm?

    904.32