A sphere sits inside a cube and touches each

side. The cube is 10 feet on each side.

What is the volume of the cube surrounding

the sphere to the nearest tenth?

Step-by-step explanation:

side of cube=10 ft

volume of cube=10³=1000 ft³

diameter of sphere=10 ft

radius of sphere=10/2=5 ft

volume of cube = (4/3) πr³ = (4/3) π*5³=500 π/3

reqd. volume=1000-500 π/3=500 (2-π/3) = 500 (6-π) / 3≈476.40 ft³

About 475.4 (whatever unit) cubed