College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 1 - Measurement and Problem Solving - Learning Path Questions and Exercises - Exercises - Page 28: 12

Answer

The equation $V=\pi d^3/4$ is dimensionally correct.

Work Step by Step

Given equation for sphere volume - $V=\pi d^3/4$. LHS - volume, $V$ has a SI unit $m^3$. RHS - $\pi$ is a dimensionless constant, and $d$ has a SI unit $m$. We have units of $m^3$ on both sides of the equation. Thus, the equation is dimensionally correct.
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