Grade 7 · Math

7th grade Volume of a cylinder worksheet

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Volume of a cylinder

Grade 7 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

Kira's can holds 628 cubic cm and has a radius of 5 cm. How tall is it, in cm? Use π = 3.14. Do not round.
Luz's jar holds 753.6 cubic cm and has a radius of 4 cm. How tall is it, in cm? Use π = 3.14. Do not round.
Milo's candle holds 339.12 cubic cm and has a radius of 3 cm. How tall is it, in cm? Use π = 3.14. Do not round.
Noah's drum holds 1256 cubic cm and has a radius of 10 cm. How tall is it, in cm? Use π = 3.14. Do not round.
Zee's mug has a radius of 4 cm and is 10 cm tall. 1 liter is 1000 cubic cm. How many liters fit inside it? Use π = 3.14. Do not round.
Ari's jar has a radius of 8 cm and is 25 cm tall. 1 liter is 1000 cubic cm. How many liters fit inside it? Use π = 3.14. Do not round.
Esme's drum has a radius of 20 cm and is 35 cm tall. 1 liter is 1000 cubic cm. How many liters fit inside it? Use π = 3.14. Do not round.
Jun's candle is 6 cm across and 15 cm tall. Each cubic cm of wax weighs 0.9 g. How many grams of wax are in it? Use π = 3.14. Do not round.
Kira's log is 10 cm across and 40 cm long. Each cubic cm of wood weighs 0.6 g. How many grams of wood are in it? Use π = 3.14. Do not round.
Luz's log is 20 cm across and 30 cm long. Each cubic cm of wood weighs 0.7 g. How many grams of wood are in it? 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

See all grade 7 math

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