Volume of cones and spheres
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Milo fills a can with a cone of water. The cone: radius 4 cm, height 9 cm. The can: radius 8 cm, height 12 cm. How many full cones of water fill the can?
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?
Sketch, not to scale: the cone (radius 3 cm, height 12 cm) next to the can (radius 12 cm, height 15 cm). Sketch, not to scale: the cone (radius 3 cm, height 12 cm) next to the can (radius 12 cm, height 15 cm). 12 cm 3 cm Not to scale cone 12 cm 15 cm Not to scale can 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.
Sketch, not to scale: the ball (radius 4.5 cm) and the can it fits snugly in (radius 4.5 cm, height 9 cm). The air is the space in the can around the ball. Sketch, not to scale: the ball (radius 4.5 cm) and the can it fits snugly in (radius 4.5 cm, height 9 cm). The air is the space in the can around the ball. 4.5 cm Not to scale ball 4.5 cm 9 cm Not to scale can Ren's ball (radius 9 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.
Sketch, not to scale: the ball (radius 9 cm) and the can it fits snugly in (radius 9 cm, height 18 cm). The air is the space in the can around the ball. Sketch, not to scale: the ball (radius 9 cm) and the can it fits snugly in (radius 9 cm, height 18 cm). The air is the space in the can around the ball. 9 cm Not to scale ball 9 cm 18 cm Not to scale can Tala's beach ball (radius 13.5 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.
Sketch, not to scale: the ball (radius 13.5 cm) and the can it fits snugly in (radius 13.5 cm, height 27 cm). The air is the space in the can around the ball. Sketch, not to scale: the ball (radius 13.5 cm) and the can it fits snugly in (radius 13.5 cm, height 27 cm). The air is the space in the can around the ball. 13.5 cm Not to scale ball 13.5 cm 27 cm Not to scale can Sketch, not to scale: a cylinder with a cone of the same radius on top, with the radius and the two heights marked. Sketch, not to scale: a cylinder with a cone of the same radius on top, with the radius and the two heights marked. Sketch, not to scale height radius height same radius 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.
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 6.
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?
Sketch, not to scale: two balls, the second with a radius 2 times as long as the first one's (r). Sketch, not to scale: two balls, the second with a radius 2 times as long as the first one's (r). r Not to scale first 2 × r Not to scale second 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?
Sketch, not to scale: two balls, the second with a radius 3 times as long as the first one's (r). Sketch, not to scale: two balls, the second with a radius 3 times as long as the first one's (r). r Not to scale first 3 × r Not to scale second 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?
Sketch, not to scale: two toy volcanoes with the same height, the second with a radius 4 times as long as the first one's (r). Sketch, not to scale: two toy volcanoes with the same height, the second with a radius 4 times as long as the first one's (r). r Not to scale first 4 × r Not to scale second