A sphere is inscribed inside a hemisphere of radius 2. A cube is inscribed in the sphere. What is the volume of this cube?
The sphere's DIAMETER is 2
this will also be the cube's 3-D diameter
find cube side length
s^2 ^ s^2 + s^2 = 2^2
s = sqrt (4/3 )
Volume = s * s* s = (sqrt 4/3)^3 = (4/3)3/2 = 1.5396 units3