Chapter A.2, Problem 34AYU

To determine

To find: The volume $V$ and surface area $S$ of a sphere of radius 3 feet.

Answer to Problem 34AYU

$V=288\pi {\text{ft}}^3$ and $S=144 {\text{ft}}^2$.

Explanation of Solution

Formula Used:

Volume $V=\frac{4}{3}\pi r^3$ and surface area $S=4\pi r^2$.

Volume of a sphere $V=\frac{4}{3}\pi r^3=\frac{4}{3}\pi {\left(6\right)}^3=288\pi {\text{ft}}^3$.

Surface area of a sphere $S=4\pi r^2=4\pi {\left(4\right)}^2=144\pi {\text{ft}}^2$.