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30 April, 05:29

A sphere and a right cylinder have the same radius and volume. Find the radius r in terms of the height H of the cylinder

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  1. 30 April, 09:03
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    Volume of cylinder = πR². H

    Volume Sphere: = 4/3πR³

    Volume of cylinder = Volume Sphere (given), then:

    πR². H = 4/3πR³

    Simplify==> R². H = (4/3) R³==> H = (4/3) R===> R=3H/4
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