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?

Question

Mathematics

Jaylene

18 May, 05:24

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?

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Answers (1)

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Toodles · Answer 1

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