volume_mute
Volume of a Sphere
publish date: 2026/05/18 20:42:21.371290 UTC
volume_mute
A spherical ball has a radius of \(3\text{ m}\). Determine its volume in terms of \(\pi\).
Correct Answer
36π m³
Explanation
The volume of a sphere is given by the formula \(V = \frac{4}{3}\pi r^3\). Given \(r = 3\text{ m}\):
\[ V = \frac{4}{3} \times \pi \times (3)^3 \]
\[ V = \frac{4}{3} \times \pi \times 27 = 4 \times \pi \times 9 = 36\pi\text{ m}^3 \]
Reference
Mathematics for college students