Cylinders: volume problems, including a missing radius or height

Grade 8 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. “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.

  6. 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.

  7. 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?

  8. Milo's can has a volume of 150π cubic cm and is 6 cm tall. What is its radius, in cm?

  9. Noah's toy drum has a volume of 324π cubic cm and is 4 cm tall. What is its radius, in cm?

  10. Pia's pot has a volume of 490π cubic cm and is 10 cm tall. What is its radius, in cm?

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Cylinders: volume problems, including a missing radius or height

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. 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.

    91.06
  2. 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.

    188.4
  3. 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.

    2.5
  4. 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.

    3.75
  5. “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.

    2712.96
  6. 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.

    301.44
  7. 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?

    18
  8. Milo's can has a volume of 150π cubic cm and is 6 cm tall. What is its radius, in cm?

    5
  9. Noah's toy drum has a volume of 324π cubic cm and is 4 cm tall. What is its radius, in cm?

    9
  10. Pia's pot has a volume of 490π cubic cm and is 10 cm tall. What is its radius, in cm?

    7