Answer
See below.
Work Step by Step
The volume of the sphere: $\frac{4}{3}r^3\pi$
The volume of the inscribed cone: $\pi r^2h$
These two are equal, thus $\frac{4}{3}r^3\pi=\pi r^2h\\\frac{4}{3}r=h$
Thus we proved what we had to.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 8 Rational Functions - 8.4 Multiply and Divide Rational Expressions - 8.4 Exercises - Problem Solving - Page 580: 51a
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