if the surface area of a sphere equals the surface area of a cube, what is the ratio of the volume of the sphere to the volume of the cube?

Answer 1

4π*r^2 = 6s^2

r^2/s^2 = 6/4π = 3/2π

r/s = √(3/2π)

4π/3 r^3 / s^3 = 4π/3 (r/s)^3 = 4π/3 √(3/2π)^3 = 2√(3/2π)