Question

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?
A.) 6 : pi
B.) 3 : 4pi
C.) 2 : 3pi
D.) 1 : 12pi

Answer 1

Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125  = 1/(4pi/3) = 3/(4pi)

Answer: B

Answer 2

The answer is 6 : pi. Took the test and got it right.