Worksheets · Geometry

Volume of a sphere worksheet

A sphere is every point at the same distance, the radius, from one center point, so it is set by its radius alone. The volume of a sphere is four thirds pi times the radius cubed. Cube the radius first, then deal with the fraction, and the arithmetic stays simple.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Volume of a Sphere

Date Period

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

  1. A great circle of a sphere has circumference 20π. Find the volume of the sphere.
  2. Find the volume of the sphere.r = 13.5
  3. Find the volume. Leave π in your answer.d = 7
  4. A sphere has diameter 31. Find its volume.
  5. A sphere has radius 18.5. Find its volume.
  6. Work out the volume of the sphere.r = 2.5
  7. A sphere has radius 4.5. Find its volume.
  8. Find the volume.d = 39
  9. A sphere has radius 17.5. Find its volume.
  10. Find the exact volume of the sphere.d = 45
  11. A great circle of a sphere has circumference 58π. Find the volume of the sphere.
  12. A sphere has radius 26.5. Find its volume.
  13. What is the volume of the sphere?d = 49
  14. A sphere has diameter 23. Find its volume.
  15. A sphere has radius 6.5. Find its volume.
  16. Find the volume of the sphere.d = 43
  17. A sphere has radius 23.5. Find its volume.
  18. Find the volume.d = 61
  19. A great circle of a sphere has circumference 12π. Find the volume of the sphere.
  20. A sphere has radius 20.5. Find its volume.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Volume of a SphereAnswer keyVersion 1

Date Period

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

  1. A great circle of a sphere has circumference 20π. Find the volume of the sphere.40003π
  2. Find the volume of the sphere.r = 13.565612π
  3. Find the volume. Leave π in your answer.d = 73436π
  4. A sphere has diameter 31. Find its volume.297916π
  5. A sphere has radius 18.5. Find its volume.506536π
  6. Work out the volume of the sphere.r = 2.51256π
  7. A sphere has radius 4.5. Find its volume.2432π
  8. Find the volume.d = 39197732π
  9. A sphere has radius 17.5. Find its volume.428756π
  10. Find the exact volume of the sphere.d = 45303752π
  11. A great circle of a sphere has circumference 58π. Find the volume of the sphere.975563π
  12. A sphere has radius 26.5. Find its volume.1488776π
  13. What is the volume of the sphere?d = 491176496π
  14. A sphere has diameter 23. Find its volume.121676π
  15. A sphere has radius 6.5. Find its volume.21976π
  16. Find the volume of the sphere.d = 43795076π
  17. A sphere has radius 23.5. Find its volume.1038236π
  18. Find the volume.d = 612269816π
  19. A great circle of a sphere has circumference 12π. Find the volume of the sphere.288π
  20. A sphere has radius 20.5. Find its volume.689216π

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

How to do these

Find the volume of a sphere with radius 3

  1. 3 cubed is 27.
  2. Four thirds of 27 is 36.

The answer is 36π.

Where students go wrong

Squaring the radius instead of cubing it, which is the surface area formula wearing the wrong coefficient. Volume cubes.

Also called sphere volume or volume of spheres.

Questions about these worksheets

Yes. Every volume of a sphere 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 sphere 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.

Squaring the radius instead of cubing it, which is the surface area formula wearing the wrong coefficient. Volume cubes.