Volume of cones and spheres
Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
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?
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.
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.
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?
Sketch, not to scale: the cone and the cylinder with the same base (area 50.24 square cm) and height 6 cm. The cone is one third of the cylinder. Sketch, not to scale: the cone and the cylinder with the same base (area 50.24 square cm) and height 6 cm. The cone is one third of the cylinder. 6 cm Not to scale cone 6 cm Not to scale cylinder Both bases: 50.24 square cm Milo's castle roof is a cone with a base of 78.5 square cm and a height of 9 cm. What is its volume in cubic cm?
Sketch, not to scale: the cone and the cylinder with the same base (area 78.5 square cm) and height 9 cm. The cone is one third of the cylinder. Sketch, not to scale: the cone and the cylinder with the same base (area 78.5 square cm) and height 9 cm. The cone is one third of the cylinder. 9 cm Not to scale cone 9 cm Not to scale cylinder Both bases: 78.5 square cm 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?
Sketch, not to scale: the cone and the cylinder with the same base (area 28.26 square cm) and height 7 cm. The cone is one third of the cylinder. Sketch, not to scale: the cone and the cylinder with the same base (area 28.26 square cm) and height 7 cm. The cone is one third of the cylinder. 7 cm Not to scale cone 7 cm Not to scale cylinder Both bases: 28.26 square cm 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?
Sketch, not to scale: the cone and the cylinder with the same base (area 12.56 square cm) and height 6 cm. The cone is one third of the cylinder. Sketch, not to scale: the cone and the cylinder with the same base (area 12.56 square cm) and height 6 cm. The cone is one third of the cylinder. 6 cm Not to scale cone 6 cm Not to scale cylinder Both bases: 12.56 square cm 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?
Sketch, not to scale: a ball of radius 3 cm and the can it fits in, with the same radius, 6 cm tall. The ball fills two thirds of the can. Sketch, not to scale: a ball of radius 3 cm and the can it fits in, with the same radius, 6 cm tall. The ball fills two thirds of the can. 3 cm Not to scale ball 3 cm 6 cm Not to scale can 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?
Sketch, not to scale: a ball of radius 4.5 cm and the can it fits in, with the same radius, 9 cm tall. The ball fills two thirds of the can. Sketch, not to scale: a ball of radius 4.5 cm and the can it fits in, with the same radius, 9 cm tall. The ball fills two thirds of the can. 4.5 cm Not to scale ball 4.5 cm 9 cm Not to scale can 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?
Sketch, not to scale: a ball of radius 9 cm and the can it fits in, with the same radius, 18 cm tall. The ball fills two thirds of the can. Sketch, not to scale: a ball of radius 9 cm and the can it fits in, with the same radius, 18 cm tall. The ball fills two thirds of the can. 9 cm Not to scale ball 9 cm 18 cm Not to scale can