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.
Tala pours a full pot (radius 6 cm, height 10 cm) into an empty jar with radius 12 cm. How deep is the water in the jar, in cm? Use π = 3.14.
Sketch, not to scale: the full pot 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 pot on the left, the empty wider jar on the right, with the radii marked. The jar is taller than the water. radius radius full pot empty wider jar Not to scale. 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 Sketch, not to scale. Bo's can has a radius of 4 cm and is 15 cm tall. Water fills it to a depth of 9 cm. How many cubic cm more water fit? Use π = 3.14.
Sketch, not to scale: the can with the water level at 9 cm and the empty part above it. Sketch, not to scale: the can with the water level at 9 cm and the empty part above it. water level: 9 cm empty part Sketch, not to scale: the small cup next to the big jar, with the radii and heights marked. Luz fills a big jar with a cup. The cup: radius 5 cm, height 8 cm. The jar: radius 15 cm, height 16 cm. How many full cups of water fill the jar?
Sketch, not to scale: the small cup next to the big jar, with the radii and heights marked. Sketch, not to scale: the small cup next to the big jar, with the radii and heights marked. 5 cm 8 cm 15 cm 16 cm cup jar 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