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 - Building Confidence

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Ari's candle is a cylinder with a radius of 2 cm and a height of 9 cm. The figure shows one circle layer. What is its volume in cubic cm?
Bo's jar is a cylinder with a radius of 4 cm and a height of 7 cm. The figure shows one circle layer. What is its volume in cubic cm?
Esme's toy drum is a cylinder with a radius of 6 cm and a height of 5 cm. The figure shows one circle layer. What is its volume in cubic cm?
Jun's can is a cylinder with a radius of 3 cm and a height of 11 cm. The figure shows one circle layer. What is its volume in cubic cm?
“Sketch, not to scale:” Luz's can is a cylinder with a radius of 4 cm. It holds 653.12 cubic cm, and one circle layer has an area of 50.24 square cm. How tall is it, in cm?
Noah's pot is a cylinder with a radius of 5 cm. It holds 706.5 cubic cm, and one circle layer has an area of 78.5 square cm. How tall is it, in cm?
Pia's jar is a cylinder with a radius of 6 cm. It holds 791.28 cubic cm, and one circle layer has an area of 113.04 square cm. How tall is it, in cm?
Read this first
Sketch, not to scale
The candle cut into ? layers, each 1 cm thick. One layer is a circle of area 12.56 square cm; the layers add up to 150.72 cubic cm.
Ren's candle is a cylinder with a radius of 2 cm. It holds 150.72 cubic cm, and one circle layer has an area of 12.56 square cm. How tall is it, in cm?
Zee's toy drum is a cylinder. One circle layer has an area of 314 square cm, so 3.14 × r × r = 314. What is the radius r, in cm?
Ari's stockpot is a cylinder. One circle layer has an area of 452.16 square cm, so 3.14 × r × r = 452.16. What is the radius r, 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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