Grade 7 · Math

7th grade Volume of a cylinder worksheet

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Volume of a cylinder

Grade 7 Math Worksheet - Building Confidence

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Ari's can is a cylinder. One circle layer of it has an area of 78.5 square cm, and it is 11 cm tall. What is its volume in cubic cm?
Bo's jar is a cylinder. It is spotless. One circle layer of it has an area of 50.24 square cm, and it is 12 cm tall. What is its volume in cubic cm?
Esme's candle is a cylinder. One circle layer of it has an area of 28.26 square cm, and it is 15 cm tall. What is its volume in cubic cm?
Jun's drum is a cylinder. One circle layer of it has an area of 314 square cm, and it is 12 cm tall. What is its volume in cubic cm?
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Grid, each square 1 cm by 1 cm. The end circle with its radius 6 cm; below it the wedges laid out as a rectangle 6 cm tall and 18.84 cm wide, which is one layer. The drum is 8 layers high, each layer 1 cm thick.
Milo's drum has a radius of 6 cm and is 8 cm tall. Its end is a circle layer, and the layers stack 8 cm high. What is its volume in cubic cm?
Noah's mug has a radius of 4 cm and is 9 cm tall. Its end is a circle layer, and the layers stack 9 cm high. What is its volume in cubic cm?
Pia's candle has a radius of 2.5 cm and is 12 cm tall. Its end is a circle layer, and the layers stack 12 cm high. What is its volume in cubic cm?
Ren's jar has a radius of 5 cm and is 6 cm tall. Its end is a circle layer, and the layers stack 6 cm high. What is its volume in cubic cm?
Tala's candle is 8 cm across, so its radius is 4 cm. It is 15 cm tall. What is its volume in cubic cm? Use π = 3.14. Do not round.
Bo's drum is 24 cm across, so its radius is 12 cm. It is 10 cm tall. What is its volume in cubic cm? Use π = 3.14. Do not round.

7th grade Volume of a cylinder worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Volume of a cylinder. 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 circle at the end is one layer, and the layers stack as high as the cylinder is tall.
I can find the radius first when I am given the diameter, and write the volume in terms of π or as a decimal with π = 3.14.
I can work back to a height, say how the volume changes when the radius changes, change cubic cm to liters, and use a volume in a real problem.

Standard: state-only (CCSS 8.G.C.9)

Words to know

cylinder: A solid with two matching flat circles for ends and a round side, like a can.

layer: One thin slice of a cylinder, as flat as one of its circular ends.

radius: The distance from the middle of a circle to its edge. It is half a diameter.

diameter: The distance all the way across a circle, through the middle.

volume: How much space is inside a solid, counted in cubic units.

pi (π): The number of diameters that fit around any circle: about 3.14.

liter: A unit of volume: 1000 cubic centimeters.

Common mistakes

Your child added the area of the circle and the height instead of multiplying them.

Your child found the area of the circle at the end of the cylinder and stopped.

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

What to say

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

Ask: the circle is only one layer; how many layers make the whole cylinder?

Ask: how many times is the radius used in a circle's area?

Questions parents ask

What is the most common mistake with volume of a cylinder?

Your child added the area of the circle and the height instead of multiplying them.

How can I help my child with volume of a cylinder?

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

Are these 7th 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 7 math

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