Volume of a Sphere Worksheet Generator

The formula

V = ⁴⁄₃ × π × r³

The volume of a sphere depends on the cube of its radius. Cube the radius, multiply by π, then multiply by four-thirds. Because the radius is cubed rather than squared, the volume grows very quickly as the ball gets bigger — doubling the radius makes the sphere eight times larger.

A worked example

The usual error is cubing the radius as if it were squared — remember to multiply the radius by itself three times, not two. As with the circle, if a problem hands you the diameter, halve it first to get the radius.

Sample problems

In the tool you set the range the radius values come from, so each worksheet is a different set of problems.

Who it's for

Volume of a sphere is a later geometry topic, usually grades 8 to 10, and it fits well once students have met the area of a circle. It works for classroom practice, exam prep, and homeschool review, especially when you want problems that stretch students on cubing and rounding.

How to make one

1. Open Formula Worksheet Maker.
2. Drag the Volume of a Sphere formula onto the sheet.
3. Set the smallest and largest radius you want to appear.
4. Generate the student page, the questions PDF, and the answer key.
5. Print it, or save as a PDF and reuse it. Regenerate for a fresh set anytime.

Questions people ask

Does the worksheet come with an answer key?

Yes. Each sheet has a matching key, and the student page checks every answer against it.

Can I keep the radius values small?

Yes. You choose the radius range, which keeps the arithmetic manageable for a first pass or harder for revision.

How is the answer rounded?

Answers are given to two decimal places, which is the common convention for volume problems at this level.

Is it free to print?

Yes. The tool is free, runs in your browser, and needs no account. Print or save each worksheet as a PDF.