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Volume of Cylinders: Equations Quiz - Printable Math Worksheets 8th Grade - Wayground

Volume of Cylinders: Equations Quiz

Jordan Secondary)

Created by Jordan Secondary)

12 questions

8th Grade

Math

Updated Dec 2025

Volume of Cylinders: Equations Quiz is a free printable Grade 8 mathematics worksheet with an answer key that focuses on setting up and rearranging equations for the volume of a cylinder. Students work with the cylinder-volume formula, identify equations for volume, radius, and height, and use given measurements such as diameter, radius, and height. The 12-question quiz includes one multiple-select item and 11 multiple-choice items. Several prompts ask students to choose the equation they would enter in Desmos, while others assess how volume changes when a cylinder’s height changes or ask for volume in terms of pi. This worksheet helps teachers check whether students can translate cylindrical measurement situations into equations and select the appropriate variable-solving form before calculating.

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Volume of Cylinders: Equations Quiz

Total questions: 12

Name
Class
Date
1.

What is the formula for finding the volume of a cylinder? Select the two correct formulas:

a)

V=BhV=Bh

b)

V=2πrhV = 2\pi rh

c)

V=πr2hV = \pi r^2h

d)

V=13πr2hV = \frac{1}{3}\pi r^2h

e)

V=πr2V=\pi r^2

2.

If a cylinder has a diameter of 3 cm and a height of 10 cm, which equation can be used to find V, the volume of the cylinder in cubic centimeters?

a)

π3210\pi3^210

b)

π1023\pi10^23

c)

π1.5210\pi1.5^210

d)

π523\pi5^23

3.

A cylindrical can has a volume of 150π cm3150\pi \, \text{cm}^3 and a height of 5 cm. What equation will have desmos find the radius for you?

a)

150π∼πr25150\pi\sim\pi r^25

b)

150π=π52r150\pi=\pi5^2r

c)

150π=πr25150\pi=\pi r^25

d)

150π∼π52r150\pi\sim\pi5^2r

4.

Which equation will find the height of a cylinder that has a volume of 200π cm3200\pi \, \text{cm}^3 and a radius of 5 cm.

a)

h=200π52h=\frac{200}{\pi5^2}

b)

h=52200πh=\frac{5^2}{200\pi}

c)

h=200ππ52h=\frac{200\pi}{\pi5^2}

d)

h=π52200πh=\frac{\pi5^2}{200\pi}

5.

A cylindrical water tank has a radius of 7 m and a height of 12 m. Select the correct equation to put in desmos:

a)

V=π7212V=\pi7^212

b)

V=π1227V=\pi12^27

c)

V=7×12V=7\times12

d)

V=π72V=\pi7^2

6.

If the height of a cylinder is tripled while keeping the radius the same, how does the volume change?

a)

It doubles

b)

It triples

c)

It quadruples

d)

It stays the same

7.

A cylindrical pillar has a diameter of 4 meters and a height of 10 meters. What is its volume in terms of pi?

a)

502.65 m3502.65\ m^3

b)

40π m340\pi\ m^3

c)

160π m3160\pi \, \text{m}^3

d)

125.66 m3125.66\ m^3

8.

A cylindrical drum has a volume of 704π cm3704\pi \, \text{cm}^3 and a radius of 8 cm. Which equation can be used to find h, the height?

a)

h=704π82h=\frac{704\pi}{8^2}

b)

h=704ππ82h=\frac{704\pi}{\pi8^2}

c)

h=π82704πh=\frac{\pi8^2}{704\pi}

d)

h=704π82h=\frac{704}{\pi8^2}

9.

Which equation will have desmos solve the word problem for you:

A cylindrical tube is 15 cm tall and holds 2826 cm 3^3 of water.

What is the radius of the tube?

a)

2826∼πr2h2826\sim\pi r^2h

b)

2826∼πr2152826\sim\pi r^215

c)

V∼π1522826V\sim\pi15^22826

d)

2826∼π152r2826\sim\pi15^2r

10.

If the volume of a cylinder is 100π cm3100\pi \, \text{cm}^3 and the radius is 2 cm, what is the height of the cylinder?

a)

10 cm

b)

25 cm

c)

50 cm

d)

12.5 cm

11.

A cylindrical container is filled with 314 cm 3^3 of water. If the container's radius is 5 cm, what equation can be used to find h, the height?

a)

h= 31452\frac{314}{5^2}

b)

h= 314π52\frac{314}{\pi5^2}

c)

h= π52314\frac{\pi5^2}{314}

d)

h= 52314\frac{5^2}{314}

12.

A cylindrical cake has a diameter of 10.2 cm and a height of 7.4 cm. Which equation will find the volume of the cake?

a)

π5.127.4\pi5.1^27.4

b)

π10.227.4\pi10.2^27.4

c)

π7.425.1\pi7.4^25.1

d)

π3.7210.2\pi3.7^210.2

WaygroundAnswer Key

Volume of Cylinders: Equations Quiz

Total questions: 12

1.
a)

V=BhV=Bh

, c)

V=πr2hV = \pi r^2h

2.
c)

π1.5210\pi1.5^210

3.
a)

150π∼πr25150\pi\sim\pi r^25

4.
c)

h=200ππ52h=\frac{200\pi}{\pi5^2}

5.
a)

V=π7212V=\pi7^212

6.
b)

It triples

7.
b)

40π m340\pi\ m^3

8.
b)

h=704ππ82h=\frac{704\pi}{\pi8^2}

9.
b)

2826∼πr2152826\sim\pi r^215

10.
b)

25 cm

11.
b)

h= 314π52\frac{314}{\pi5^2}

12.
a)

π5.127.4\pi5.1^27.4

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FAQs

What does this worksheet cover?

This worksheet covers selecting and rearranging equations for the volume of cylinders. Its 12 items ask students to identify formulas, set up Desmos equations to find volume, radius, or height, interpret how changing height affects volume, and calculate a cylinder’s volume from measurements such as radius, diameter, and height.

How can I use this worksheet to teach cylinder-volume equations?

Introduce the cylinder-volume formula, then model how a known diameter, radius, height, or volume determines the equation students need to enter in Desmos. Use the worksheet’s equation-selection questions before assigning the numerical items, and ask students to explain which quantity is unknown and why their chosen equation isolates it.

What mistakes should I watch for when students complete this cylinder-volume quiz?

Watch for students using the diameter as the radius without converting it, selecting only one formula on the multiple-select item, or choosing an equation that solves for volume when the question asks for radius or height. Students may also confuse the effect of tripling height with changing radius, or substitute measurements into the wrong Desmos equation.

How do I assign and grade this cylinder-volume worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital version supports online assignment and grading.

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

For the equation-selection prompts and measurement-based cylinder problems, adjust font spacing or font size to make values and variable labels easier to follow. Wayground’s Advanced Settings also let you apply a dyslexia-friendly font or translate this worksheet into another language.

Where can I find more worksheets like this on Wayground?

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

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