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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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  1. 18 May, 08:09
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    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
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