Worksheets · Geometry

Volume of prisms and cylinders worksheet

A prism or a cylinder is the same cross-section repeated all the way up, so the volume is the area of that face times the height. The surface area is the two ends plus the wall wrapped round.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Prisms and Cylinders

Date Period

Find each measure. Leave answers in terms of pi where it appears.

  1. Find the volume6.511
  2. Find the volume9.5166
  3. Find the volume7.512
  4. Find the volume8.584
  5. Find the volume6.55
  6. Find the volume8.5313
  7. Find the volume6.54
  8. Find the volume7.5106
  9. Find the volume7.511
  10. Find the volume10.548
  11. Find the volume7.516
  12. Find the volume7.548
  13. Find the volume5.53
  14. Find the volume10.5115
  15. Find the volume5.512
  16. Find the volume9.51215
  17. Find the volume7.515
  18. Find the volume8.5315
  19. Find the volume5.54
  20. Find the volume9.5811

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

Sigma Prep · sigmaprep.io/worksheets

Name

Prisms and CylindersAnswer keyVersion 1

Date Period

Find each measure. Leave answers in terms of pi where it appears.

  1. Find the volume6.51118594π
  2. Find the volume9.5166912
  3. Find the volume7.512675π
  4. Find the volume8.584272
  5. Find the volume6.558454π
  6. Find the volume8.53136632
  7. Find the volume6.54169π
  8. Find the volume7.5106450
  9. Find the volume7.51124754π
  10. Find the volume10.548336
  11. Find the volume7.516900π
  12. Find the volume7.548240
  13. Find the volume5.533634π
  14. Find the volume10.511511552
  15. Find the volume5.512363π
  16. Find the volume9.512151710
  17. Find the volume7.51533754π
  18. Find the volume8.53157652
  19. Find the volume5.54121π
  20. Find the volume9.5811836

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

How to do these

A cylinder with radius 3 and height 10

  1. The circular face has area 9 pi.
  2. Times the height of 10.
  3. So the volume is 90 pi.

The answer is 90π.

Where students go wrong

Using the diameter where the formula wants the radius. Every one of these formulas takes the radius, and putting the diameter in makes the volume four times too big.

Also called volume of a cylinder, surface area of a prism or rectangular prism volume.

What you can put on this worksheet

Volume of a cylinder
Find the volume 294π
Surface area of a cylinder
Find the surface area 182π
Volume of a prism
Find the volume 336
Surface area of a prism
Find the surface area 292

Questions about these worksheets

Yes. Every volume of prisms and cylinders 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 prisms and cylinders 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.

You pick from 4: volume of a cylinder, surface area of a cylinder, volume of a prism and surface area of a prism. Tick as many as you want and set how many of each, or let it spread them evenly.

Using the diameter where the formula wants the radius. Every one of these formulas takes the radius, and putting the diameter in makes the volume four times too big.