Chapter A.2, Problem 33AYU

To determine

To find: The volume $V$ and surface area $S$ of a sphere of radius 4 centimeters.

Answer to Problem 33AYU

$V=\frac{256}{3}\pi {\text{cm}}^3$ and $S=64 {\text{cm}}^2$.

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 $V=\frac{4}{3}\pi r^3=\frac{4}{3}\pi {\left(4\right)}^3=\frac{256}{3}\pi {\text{cm}}^3$.

Surface area of a sphere $S=4\pi r^2=4\pi {\left(4\right)}^2=64\pi {\text{cm}}^2$.