Math
posted by Joe on .
A pyramid is inscribed in a cube whose volume is 52(pi) cm^3. The volume of a sphere is equal to the volume of this pyramid. Find the volume of a second cube whose edge is equal to the radius of the sphere.

V = (4pi/3)r^3 = 52picm^3.
Divide both sides by 4pi/3:
r^3 = 39,
r = 3.39cm.
V = (3.39)^3 = 39cm^3 = Volume of cube.