Worksheets · Pre-Algebra

Pre-Algebra 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.

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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 volume27
  2. Find the volume8.5916
  3. The volume is 5184π. Find the radiusr16
  4. Find the volume6106
  5. Find the volume5.54
  6. The volume is 195. Find the height13h3
  7. Find the volume85
  8. Find the volume8.562
  9. The volume is 6000π. Find the radiusr15
  10. Find the volume736
  11. Find the volume7.513
  12. The volume is 5472. Find the height19h24
  13. Find the volume84
  14. Find the volume7.548
  15. Find the volume8.55
  16. Find the volume247
  17. Find the volume7.514
  18. The volume is 1584. Find the height11h8
  19. Find the volume108
  20. Find the volume10.51515

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 volume2728π
  2. Find the volume8.59161224
  3. The volume is 5184π. Find the radiusr1618
  4. Find the volume6106360
  5. Find the volume5.54121π
  6. The volume is 195. Find the height13h35
  7. Find the volume85320π
  8. Find the volume8.562102
  9. The volume is 6000π. Find the radiusr1520
  10. Find the volume736126
  11. Find the volume7.51329254π
  12. The volume is 5472. Find the height19h2412
  13. Find the volume84256π
  14. Find the volume7.548240
  15. Find the volume8.5514454π
  16. Find the volume24756
  17. Find the volume7.51415752π
  18. The volume is 1584. Find the height11h818
  19. Find the volume108800π
  20. Find the volume10.5151547252

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.

Pre-Algebra is usually taken around 7th or 8th 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.