09-01-2016
Mathematics

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find the volume of a sphere that is circumscribed about a cube with a volume of 216 cubic inches

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tinamaree98 tinamaree98

09-01-2016

Volume Cube = Side^3
Volume Sphere = 4/3 x PI x radius^3
since radius sphere = 1/2 side cube

V cube = 216 = Side^3
Side cube = 6 inch
Volume sphere = 4/3 x 3.1416 x (3)^3
Volume sphere = 113.10 cubic inches

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