precalc quest?

Question

a cylinder is inscribed inside a sphere with radius R. let x=height of cylinder. write a formila for the volume of the cylinder as a function of x and that includes R in some way. What is the domain of V(x) and graph V(x) when R=3

Answer 1

base radius = sqrt(R^2-(x/2)^2)
V= pi*(R^2-x^2/4)*x 0