Cylinders: volume problems, including a missing radius or height
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Noah compares two jars. Jar A: radius 4 cm, height 11 cm. Jar B: radius 7 cm, height 3 cm. How many cubic cm more does the bigger one hold? Use π = 3.14.
Pia compares two pots. Pot A: radius 10 cm, height 6 cm. Pot B: radius 6 cm, height 15 cm. How many cubic cm more does the bigger one hold? Use π = 3.14.
Use the picture in question 1.
Ren pours a full can (radius 5 cm, height 8 cm) into an empty jar with radius 10 cm. How deep is the water in the jar, in cm? Use π = 3.14.
Sketch, not to scale: the full can on the left, the empty wider jar on the right, with the radii marked. The jar is taller than the water. Sketch, not to scale: the full can on the left, the empty wider jar on the right, with the radii marked. The jar is taller than the water. 8 cm radius 5 cm radius 10 cm Zee pours a full tin (radius 4 cm, height 15 cm) into an empty jar with radius 8 cm. How deep is the water in the jar, in cm? Use π = 3.14.
Sketch, not to scale: the full tin on the left, the empty wider jar on the right, with the radii marked. The jar is taller than the water. Sketch, not to scale: the full tin on the left, the empty wider jar on the right, with the radii marked. The jar is taller than the water. 15 cm 4 cm full tin 8 cm empty wider jar The jar is taller than the water. Not to scale. “Sketch, not to scale:” Ari's cooking pot has a radius of 12 cm and is 20 cm tall. Water fills it to a depth of 14 cm. How many cubic cm more water fit? Use π = 3.14.
Sketch, not to scale: the cooking pot with the water level at 14 cm and the empty part above it. Sketch, not to scale: the cooking pot with the water level at 14 cm and the empty part above it. cooking pot empty part water level 14 cm Esme's storage jar has a radius of 15 cm and is 20 cm tall. Water fills it to a depth of 12 cm. How many cubic cm more water fit? Use π = 3.14.
Sketch, not to scale: the storage jar with the water level at 12 cm and the empty part above it. Sketch, not to scale: the storage jar with the water level at 12 cm and the empty part above it. water level 12 cm empty part storage jar Jun fills a jar with a mug. The mug: radius 4 cm, height 10 cm. The jar: radius 8 cm, height 15 cm. How many full mugs of water fill the jar?
Sketch, not to scale: the small mug next to the big jar, with the radii and heights marked. Sketch, not to scale: the small mug next to the big jar, with the radii and heights marked. small mug 10 cm 4 cm Not to scale. big jar 15 cm 8 cm Not to scale. Milo's can has a volume of 150π cubic cm and is 6 cm tall. What is its radius, in cm?
Sketch, not to scale. A cylinder with the height 6 cm marked on the side, the radius marked ?, and the volume 150π cubic cm. Sketch, not to scale. A cylinder with the height 6 cm marked on the side, the radius marked ?, and the volume 150π cubic cm. ? 6 cm Volume 150π cubic cm Not to scale Noah's toy drum has a volume of 324π cubic cm and is 4 cm tall. What is its radius, in cm?
Sketch, not to scale. A cylinder with the height 4 cm marked on the side, the radius marked ?, and the volume 324π cubic cm. Sketch, not to scale. A cylinder with the height 4 cm marked on the side, the radius marked ?, and the volume 324π cubic cm. ? 4 cm Volume 324π cubic cm Not to scale Pia's pot has a volume of 490π cubic cm and is 10 cm tall. What is its radius, in cm?
Sketch, not to scale. A cylinder with the height 10 cm marked on the side, the radius marked ?, and the volume 490π cubic cm. Sketch, not to scale. A cylinder with the height 10 cm marked on the side, the radius marked ?, and the volume 490π cubic cm. ? 10 cm Volume 490π cubic cm Not to scale