Geometry

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Finding Maximum Volume of Box Given Cylinder

GEOM-TXLWKG

What is the volume of the largest rectangular box that will fit completely inside of the right cylinder shown below?

“Mark Czaplewski Created for Albert.io. Copyright 2016. All rights reserved.”

A

$20\sqrt{2}$

B

48

C

$48\sqrt{2}$

D

288

E

$288\sqrt{2}$