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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asked Jul 25, 2018 146k views

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Mathias Schnell · Answer 1 · 2018-07-31T14:03:45+0000

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

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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