Question

Given the volume of a sphere formula: V =

³
Find the volume of spheres with the following radii. Rewrite the equations and show your substitutions.
Remember to include units. LEAVE YOUR ANSWER IN TERMS OF TT.
1. r = 12 ft

Answer 1

The volume of the sphere is 2304π ft³.

Explanation:

The formula for the volume of a sphere is:

`\boxed{V=(4)/(3)\pi r^3}`

where r is the radius of the sphere.

Given the radius of the sphere is 12 feet, substitute r = 12 into the formula and solve for V:

`\begin{aligned}\implies V&=(4)/(3) \cdot \pi \cdot 12^3\\\\&=(4)/(3) \cdot \pi \cdot 1728\\\\&=(6912)/(3) \cdot \pi \\\\&=2304\pi\; \sf ft^3 \end{aligned}`

Therefore, the volume of the sphere in terms of π is 2304π ft³.