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.

   Bo's castle roof is a cone. A cylinder with the same base and height holds 942 cubic cm. What is the volume of the castle roof, in cubic cm?

   Use the picture in question 1.

   314
4. 3.

   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
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.

   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
7. 6.

   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
8. 7.

   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
9. 8.

   Zee's ball (radius 4.5 cm) fits snugly in a can as tall as the ball is wide. The can holds 572.265 cubic cm. What is the ball's volume in cubic cm?

   381.51
10. 9.

    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
11. 10.

    Bo's ball (radius 9 cm) fits snugly in a can as tall as the ball is wide. The can holds 4578.12 cubic cm. What is the ball's volume in cubic cm?

    3052.08