Answer
The proof is below.
Work Step by Step
Using the definition of pressure, the surface area of a hemisphere, and integration, we find:
$ F=(\Delta P)(2\pi R^2)\int_0^{\frac{\pi}{3}}cos\theta d\theta$
$ F=(\Delta P)(\pi R^2)$
Essential University Physics: Volume 1 (3rd Edition)
by Wolfson, Richard
Published by
Pearson
ISBN 10:
0321993721
ISBN 13:
978-0-32199-372-4
Chapter 15 - Exercises and Problems - Page 282: 74
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