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.

2. 1.

   Milo compares two cans. Can A: radius 3 cm, height 14 cm. Can B: radius 5 cm, height 6 cm. How many cubic cm more does the bigger one hold? Use π = 3.14.

   75.36
3. 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
4. 3.

   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
5. 4.

   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
6. 5.

   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
7. 6.

   “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
8. 7.

   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
9. 8.

   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
10. 9.

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

    5
11. 10.

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

    7