Back to 1.4 Dimensional Analysis

1.4 Exercise 1

Avg difficulty 2.5

Suppose we want the formula for the volume of a sphere. The two expressions commonly mentioned in elementary discussions of spheres are 4πr24 \pi r^{2} and 4πr3/3.4 \pi r^{3} / 3 . One is the volume of a sphere of radius r and the other is its surface area. Which one is the volume?

OpenStax University Physics Volume 1, 1.4 Dimensional Analysis, exercise 1

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.