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. 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.

   2
2. 2.

   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
3. 3.

   “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
4. 4.

   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
5. 5.

   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.

   5652
6. 6.

   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?

   6
7. 7.

   Kira fills a pot with a glass. The glass: radius 3 cm, height 12 cm. The pot: radius 12 cm, height 15 cm. How many full glasses of water fill the pot?

   20
8. 8.

   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
9. 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. 10.

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

    7