Grade 8 · Math

8th grade Cylinders: volume problems, including a missing radius or height worksheet

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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.

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.
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.
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.
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:” 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.
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.
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?
Milo's can has a volume of 150π cubic cm and is 6 cm tall. What is its radius, in cm?
Pia's pot has a volume of 490π cubic cm and is 10 cm tall. What is its radius, in cm?

8th grade Cylinders: volume problems, including a missing radius or height worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Volume of cylinders, including a missing radius or height. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can find the volume of a cylinder: the area of one circle layer times the number of layers (the height).
I can work back from a volume to the height (volume ÷ one layer) or to the radius (volume ÷ height ÷ 3.14, then the square root).
I can compare two cylinders, pour water from one into another, and say how many small cylinders fill a big one.

Standard: 8.G.C.9 (cylinders)

Words to know

cylinder: A solid with two flat circles for ends, like a can.

layer: One thin circle slice of the cylinder, 1 cm thick.

radius: The distance from the middle of the circle to its edge.

diameter: The distance across the circle through the middle: twice the radius.

volume: How much space is inside: the number of cubic units.

liter: A unit of space: 1 liter is 1000 cubic centimeters.

Common mistakes

Your child found the area of one circle layer but stopped before multiplying by the height.

Your child added the height to the area of the layer instead of multiplying.

Your child used the radius only once in the area of the circle.

What to say

Ask: how many layers stack up in the whole cylinder?

Ask: if one layer holds 10 and there are 5 layers, how much is that in all?

Ask: what do you multiply by to find the area of a circle layer?

Questions parents ask

What is the most common mistake with cylinders: volume problems, including a missing radius or height?

Your child found the area of one circle layer but stopped before multiplying by the height.

How can I help my child with cylinders: volume problems, including a missing radius or height?

Ask: how many layers stack up in the whole cylinder?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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