1 Answer

Squishy · Answer 1 · 2023-10-10T20:40:23+0000

The surface area S of sphere is given by

$S=4\pi r^2$

In our case

$S=324\pi$

Then, we have

$324\pi=4\pi r^2$

By moving 4Pi to the left hand side, we have

$(324\pi)/(4\pi)=r^2$

We can cancel Pi out in numerator and denominator, then ,we get

$\begin{gathered} (324)/(4)=r^2 \\ 81=r^2 \\ \text{therefore} \\ r=\sqrt[]{81} \end{gathered}$

and the answer is r= 9 kilometers, that is, the radius is 9 km

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