Answer
$V=36\pi \approx 113.10 \text{ cubic feet}$
$\text{surface area} = 36\pi \approx 113.10 \text{ square feet}$
Work Step by Step
RECALL:
(1) The surface area of a sphere with radius $r$ is given by the formula:
$\text{surface area} = 4\pi{r^2}$
(2) The volume $V$ of a sphere with radius $r$ is given by the formula:
$V = \dfrac{4}{3}\pi{r^3}$
Use the formulas above and the given radius of 3 feet to obtain:
$V=\dfrac{4}{3}\pi{r^3}
\\V=\dfrac{4}{3}\pi(3^3)
\\V=\dfrac{4}{3}\pi(27)
\\V=36\pi \approx 113.10 \text{ cubic feet}$
$\text{surface area} = 4\pi{r^2}
\\\text{surface area} = 4\pi(3^2)
\\\text{surface area} = 4\pi(9)
\\\text{surface area} = 36\pi \approx 113.10 \text{ square feet}$
