Question

A sphere of radius 7 in. Is placed inside a rectangular prism with length 15 in., width 18 in., and height 20 in. What is the volume of the prism not occupied by the sphere?

Answer 1

Answer:

3964 in³

Step-by-step explanation:

volume of sphere:  V = 4/3 πr³

v₁ = 4/3 x 3.14 x 7³ = 1436

volume of prism: v = Bh     B = 15 x 18 = 270    h = 20

v₂ = 270 x 20 = 5400

v₂ - v₁ = 5400 - 1436 = 3964 in³