What is the radius and height of a right circular cylindrical can with a height 5 inches longer than the radius, and a volume of 32in^3

Question

use X as the variable to represent the radius

Answer 1

Pi * r^2 * h = V

Pi * r^2 * (5+r) = V

Pi * 5*r^2+r^3 = V

Pi*5*r^2 +r^3 - V = 0

r = X

X^3 + Pi * 5 * X^2 - V = 0

X^3 + Pi * 5 * X^2 - 32 = 0

Solve for X 

Solve for H

H = 5 + X