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17 June, 05:07

A sphere fits snugly inside a 6-in. cube as shown. what is the volume of the region inside the cube but outside the sphere

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  1. 17 June, 05:14
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    Assuming that means the diameter is 6in

    so then

    vsphere = (4/3) pir^3

    r=d/2

    d=6

    6/2=3=r

    vcube-vsphere=space

    vcube=side^3=6^3=216

    vsphere = (4/3) pi3^3=36pi=113.093755

    space=216-113.083755=102.9026644707 cubic inches of empty space
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