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Grade 8 volume of cones and spheres worksheets

8.G.C.9 Measurement and geometry

Printable volume of cones and spheres worksheets for grade 8, aligned to Common Core standard 8.G.C.9. In terms of π.

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Sample problems

  1. A sphere has a radius of 3 cm. What is its volume, in terms of π? 36π cm³
  2. A sphere has a radius of 9 cm. What is its volume, in terms of π? 972π cm³
  3. A cone has a radius of 2 cm and a height of 3 cm. What is its volume, in terms of π? 4π cm³
  4. A cone has a radius of 6 cm and a height of 12 cm. What is its volume, in terms of π? 144π cm³
  5. A cone has a radius of 3 cm and a height of 9 cm. What is its volume, in terms of π? 27π cm³
  6. A cone has a radius of 5 cm and a height of 6 cm. What is its volume, in terms of π? 50π cm³
  7. A sphere has a radius of 6 cm. What is its volume, in terms of π? 288π cm³
  8. A cone has a radius of 5 cm and a height of 3 cm. What is its volume, in terms of π? 25π cm³

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

A sphere has a radius of 3 cm. What is its volume, in terms of π? 36π cm³

  1. Volume of a sphere = 4/3 × π × r³
  2. r³ = 3 × 3 × 3 = 27
  3. 4 × 27 ÷ 3 = 36, so the volume is 36π cm³

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

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