Question

Find the volume in terms of pi of each sphere with the given surface area.

36 pi in ^2

Answer 1

\[SA=4 \pi r^2=36 \pi (inches) ^2\]

Answer 2

You can just use the Surface Area to solve for 'r', but I would like to suggest a somewhat off-handed approach that might inspire you toward creativity.

Volume = \(\dfrac{4}{3}\pi r^{3} = 4\pi r^{2}\cdot \dfrac{r}{3} = SA\cdot\dfrac{r}{3}\)

You must find r/3.

If \(4\pi r^{2} = 36\pi\;then\;\pi r^{2} = 9\pi\;and\;r^{2} = 9 \implies r = 3\;and\;\dfrac{r}{3} = 1\)

Answer 3

ok so how am i supposed to find the surface area using ^^

Answer 4

?? You are GIVEN the surface area. It's in the problem statement.

Answer 5

oh