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GED Math · Drill 7.16

Volume of cones, pyramids and spheres

Family 7: Geometry

Calculator allowed, as on the test Has challenge problems ↓

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Worked examples

Two examples

Example 1

A cone has a radius of 3 cm and a height of 4 cm. Use 3.14. What is its volume?
  1. V = 13πr2h = 13 × 3.14 × 9 × 4.

Answer: 37.68 cubic cm

Example 2

A pyramid has a square base 6 m on a side and a height of 5 m. What is its volume?
  1. V = 13Bh. B = 36.
  2. 13 × 36 × 5.

Answer: 60 cubic meters

Where this is taught: Quiz 35: Volume and Surface Area, “A third, for the ones that come to a point”

The drill

Ten problems

This drill also has challenge problems. They use the same skill, set up the way the GED test sometimes sets up a problem, so that it looks new at first.

How many:

Type each answer, then press Check my answers at the bottom. Commas in large numbers are fine.Write each answer on the line. The answer key, with the reasoning, is on the last page.

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