A cubic container and a cylidrical barrel have the same volume, if the height of the barrel equals to its radius R, then the length of a side L of the container is?
Vcylinder = pi * r^2 * h but h = r......so the volume = pi* r^2 *r = pi * r^3
Vcube = side length^3 = L^3
So
pi * r^3 = L^3 take the cube root of both sides
∛[pi * r^3] = L = r∛pi
