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?

About 475.4 (whatever unit) cubed

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