Question

Please help me I'm desperate!

Solve V=(1/3)(pi)h^2(3r-h) for r.

(If you want to see the question better, look at the picture)

Also, please explain how to solve it. (And if you could provide a visual, that would be great.)

Answer 1

Let's simplify the equation:
V=πrh^2 - (πh^3)/3
πrh^2=V + (πh^3)/3
πrh^2=(3V + πh^3)/3
r = (3V + πh^3)/3πh^2