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Volume of Cylinders and Cones - Printable Mathematics Worksheets year 7 - Wayground

Volume of Cylinders and Cones

19 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet builds understanding of volume for cylinders and cones through 19 mixed-format questions. Students identify the formulas V = πr²h and V = ⅓πr²h, find the area of a circular base, interpret B and r in related formulas, identify cylindrical objects, and determine missing measurements such as radius and height. The set includes 16 multiple-choice questions, one dropdown item, and two multiple-select questions. Learners also calculate cylindrical volume from given dimensions, select the formulas or figures that meet stated criteria, and round numerical results as directed. The worksheet is suitable for guided instruction, independent practice, review, or a quick assessment of Grade 7 geometry skills. It is a free printable worksheet with a complete answer key, making it easy to check students’ understanding of formulas, geometric vocabulary, and volume calculations.

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Worksheets

Volume of Cylinders and Cones

Total questions: 19

Name
Class
Date
1.

What is the formula for the volume of a cylinder?

a)

v = π r2

b)

v = π r2 h

c)

v = π r3 h

2.

Find the volume of the cylinder. Round to the nearest tenth.

a)

352 mm2

b)

359.1 mm3

c)

360 mm3

3.

What is the formula for the volume of a cone?

a)

½ π r2 h

b)

⅓ π r2h

c)

π r3 h

4.

The cylinder has a height of ​ (a)   and a radius of ​ ​ (b)   . The shape of the base of the cylinder is a ​ (c)  

Choose from the below words
15 cm
5 cm
circle
150 cm^3
rectangle
10 cm
oval
5.

Which formula(s) do you use to find the volume of the cylinder? Select two answer.

a)

V=πr2hV=\pi r^2h

b)

V=13πr2hV=\frac{1}{3}\pi r^2h

c)

V=43πrhV=\frac{4}{3}\pi rh

d)

V=BhV=Bh

6.

What is the height of the cylinder?

a)

8 cm

b)

16 cm

c)

4 cm

d)

804.25 cm

7.

Which object is shaped like a cylinder?

a)
b)

8.

Find the volume of the figure. Round to the nearest tenth.

a)

128.6 units³

b)

1,286.8 units³

c)

401.9 units³

d)

5,144.6 units³

9.

The following figures are cylinders, cones, and spheres. Select the cylinder figures. Select two correct answers.

a)
b)
c)
d)

e)

10.

Find the area of the BASE of the cylinder.

a)

4834.91 ft3

b)

536.9 ft3

c)

1,073.9 ft3

d)

254.47ft2254.47ft^2

11.

What does the "B" in the volume formula V = Bh stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

12.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

13.

What does r represent in the formula:

A = π·r2

a)

circumference

b)

radius

c)

diameter

d)

squared

14.

What is the radius of the cylinder ?

a)

12.8 units

b)

10 units

c)

5 units

d)

6.4 units

15.

The following shows the base of a can of beans with a height of 12 cm. What is volume of the can of beans?

a)

18.84 cm2

b)

1357.17 cm2

c)

37.68 cm2

d)

452.16 cm2

16.
A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth. 
a)
471.24
b)
565.49
c)
188.5
d)
157.08
17.
What is the radius of a cylinder that has a volume of 1244.07 cubic inches and a height of 11 inches?
a)
5
b)
9
c)
6
d)
7
18.
a)
70 cm3
b)
35 cm2
c)
183 cm3
d)
549 cm3
19.
Mr. Poole's water bottle has a height of 8 inches and a volume of 56.55 inches3. How big is the radius on the water bottle?
a)
3 inches
b)
2 inches
c)
4 inches
d)
1.5 inches
Answer Key

Volume of Cylinders and Cones

Total questions: 19

1.
b)

v = π r2 h

2.
b)

359.1 mm3

3.
b)

⅓ π r2h

4.
15 cm, 5 cm, circle
5.
a)

V=πr2hV=\pi r^2h

, d)

V=BhV=Bh

6.
b)

16 cm

7.
b)
8.
b)

1,286.8 units³

9.
a) , c)
10.
d)

254.47ft2254.47ft^2

11.
d)

Area of the base

12.
c)

A = π·r2

13.
b)

radius

14.
d)

6.4 units

15.
b)

1357.17 cm2

16.
d) 157.08
17.
c) 6
18.
c) 183 cm3
19.
d) 1.5 inches

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FAQs

What does the Volume of Cylinders and Cones worksheet cover?

This Grade 7 worksheet uses 19 multiple-choice, dropdown, and multiple-select questions to practice identifying cylinder and cone volume formulas, finding circular base area, and calculating cylinder volume from radius, height, or other given measurements. Students also interpret symbols such as B and r, identify cylindrical figures, and select formulas or shapes that match the question.

How can I use this worksheet to teach volume of cylinders and cones?

Begin by reviewing the area of a circle and connecting the base area to V = Bh, then model how the cylinder formula becomes V = πr²h and how the cone formula includes the ⅓ factor. Use the formula-identification and dropdown items to check vocabulary before assigning the calculation questions, and ask students to explain why a selected formula or figure fits each multiple-select prompt.

What mistakes should I watch for when students complete this cylinder and cone volume worksheet?

Watch for students choosing πr² without multiplying by height, using the cone’s ⅓ factor when solving a cylinder problem, or treating diameter as radius. Students may also confuse base area with volume, misread what B or r represents, select only one response on the multiple-select items, or fail to round calculated volumes to the nearest tenth when requested.

How do I assign and grade this Volume of Cylinders and Cones worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, and it includes a complete answer key for checking the formula, measurement, classification, and calculation items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this cylinder and cone volume worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the formulas, dimensions, and answer choices easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping its mixed-format volume questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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