The formula for the volume of a sphere is:
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
The formula for the surface area of a sphere is:
[tex]a = 4\pi {r}^{2} [/tex]
Since they have equal numerical values, we know that the two are equal and we can say:
[tex] \frac{4}{3} \pi {r}^{3} = 4\pi {r}^{2} [/tex]
Solving for r, pi cancels out and we get:
[tex]r = 3[/tex]
Now plug r = 3 into both of the formulas to make sure that they are equal (hint: they are)
Answer: r = 3
