### Instruction: The volume of a given sphere is $36\pi$ cubic inches. How many square inches are in its surface area? Express your answer in terms of $\pi$.### Response: Let's call the radius of the sphere r.
Because the volume of a sphere is $\frac{4}{3}\pi r^3$, we know that $\frac{4}{3}\pi r^3=36\pi$.
If we divide both sides by $\pi$, we get $\frac{4}{3}r^3=36$.
We can divide both sides by $\frac{4}{3}$ to get $r^3=27$.
If we take the cube root of both sides, we get $r=3$.