Worksheets · Geometry

Volume of a cylinder worksheet

A cylinder is a circle dragged upwards, so its volume is the area of that circle times the height. Work out pi r squared first and multiply by the height last.

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Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Volume of a Cylinder

Date Period

Find each measure. Leave your answer in terms of π where it appears.

  1. Find the volume. Leave π in your answer.r = 5.5h = 11
  2. What is the volume of the cylinder?d = 9h = 16
  3. Find the exact volume of the cylinder.d = 25h = 13
  4. Find the volume.r = 6.5h = 10
  5. Find the volume of the cylinder.r = 9.5h = 12
  6. Work out the volume of the cylinder.d = 25h = 10
  7. What is the volume of the cylinder?r = 2.5h = 4
  8. Find the volume of the cylinder.r = 8.5h = 12
  9. Work out the volume of the cylinder.d = 21h = 16
  10. Find the volume. Leave π in your answer.d = 15h = 14
  11. Find the exact volume of the cylinder.d = 7h = 3
  12. Find the volume.d = 5h = 3
  13. Find the volume of the cylinder.r = 10.5h = 13
  14. Find the exact volume of the cylinder.d = 23h = 14
  15. Work out the volume of the cylinder.r = 8.5h = 16
  16. Find the volume. Leave π in your answer.r = 11.5h = 15
  17. Find the volume.r = 9.5h = 16
  18. What is the volume of the cylinder?d = 23h = 16
  19. Find the volume.d = 11h = 16
  20. Work out the volume of the cylinder.r = 3.5h = 5

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Volume of a CylinderAnswer keyVersion 1

Date Period

Find each measure. Leave your answer in terms of π where it appears.

  1. Find the volume. Leave π in your answer.r = 5.5h = 11332.75π
  2. What is the volume of the cylinder?d = 9h = 16324π
  3. Find the exact volume of the cylinder.d = 25h = 1381254π
  4. Find the volume.r = 6.5h = 10422.5π
  5. Find the volume of the cylinder.r = 9.5h = 121083π
  6. Work out the volume of the cylinder.d = 25h = 1031252π
  7. What is the volume of the cylinder?r = 2.5h = 425π
  8. Find the volume of the cylinder.r = 8.5h = 12867π
  9. Work out the volume of the cylinder.d = 21h = 161764π
  10. Find the volume. Leave π in your answer.d = 15h = 1415752π
  11. Find the exact volume of the cylinder.d = 7h = 31474π
  12. Find the volume.d = 5h = 3754π
  13. Find the volume of the cylinder.r = 10.5h = 131433.25π
  14. Find the exact volume of the cylinder.d = 23h = 1437032π
  15. Work out the volume of the cylinder.r = 8.5h = 161156π
  16. Find the volume. Leave π in your answer.r = 11.5h = 151983.75π
  17. Find the volume.r = 9.5h = 161444π
  18. What is the volume of the cylinder?d = 23h = 162116π
  19. Find the volume.d = 11h = 16484π
  20. Work out the volume of the cylinder.r = 3.5h = 561.25π

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the volume of a cylinder with radius 3 and height 7

  1. The base circle has area 9 pi.
  2. Multiply by the height 7.

The answer is 63π.

Where students go wrong

Using the diameter as the radius, which makes the answer four times too big, because the radius is squared.

Also called cylinder volume or volume of cylinders.

Questions about these worksheets

Yes. Every volume of a cylinder sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the volume of a cylinder questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Using the diameter as the radius, which makes the answer four times too big, because the radius is squared.