The surface area of a sphere is A pi cm^2 and the volume of the sphere is B pi cm^3 where both A and B are three-digit whole numbers. Find the radius of the sphere.

Guest Oct 29, 2020

#1**+1 **

Surface area of a sphere $ = 4 \pi r$

Volume = $\frac{4}{3} \pi r$

Because they are three digits and whole, we know that r is divisible by 3. In other words, $r=3n$ where n is all integers.

Looking at the three digit part, we have $r = 300x+30y+3z,$ where x, y, and z are integer digits 0-9.

**It is impossible to determine a unique value for r and thus the question needs more information.**

Pangolin14 Oct 29, 2020