Answer
False
The volume of a sphere with a radius of 5.9 inches is greater than the volume of a cube with side length of 9.5 inches.
Work Step by Step
The volume of a cube with side length of 9.5 inches:
$V=9.5^3=857.375~in^3$
The volume of a sphere with a radius of 5.9 inches:
$V=\frac{4}{3}\pi~5.9^3=860.289~in^3$