1 Answer

Matthew Dean · Answer 1 · 2023-11-24T22:58:49+0000

Given:

Radius of the sphere, r = 16 ft

Let's find the surface area and volume of the sphere.

• Surface Area:

To find the surface area of the sphere, apply the formula below:

$SA=4\pi r^2$

Thus, we have:

$\begin{gathered} SA=4\pi\ast16^2 \\ \\ SA=4\pi\ast256 \\ \\ SA=1024\pi \\ \\ SA=3216.99ft^2 \end{gathered}$

Therefore, the surface area of the sphere is 1024π square ft.

• Volume:

To find the volume of the sphere, apply the formula below:

$V=(4)/(3)\pi r^3$

Thus, we have:

$\begin{gathered} V=(4)/(3)\pi\ast16^3 \\ \\ V=(4\pi\ast4096)/(3) \\ \\ V=(16384\pi)/(3) \\ \\ V=17157.28ft^3 \end{gathered}$

Therefore, the volume of the sphere is 17157.28 cubit ft

ANSWER:

$\text{ S = (1024}\pi)ft^2$

$V=((16384)/(3)\pi)ft^3$

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