# Maximize the Volume of a Tower (cylinder capped by hemisphere)

Jun 21st, 2015
Sigchi4life
Category:
Mathematics
Price: \$5 USD

Question description

You will have a total materials budget of \$200,000. What are the dimensions of the tower (radius and height of the cylinder) which will maximize the volume enclosed by the tower? This tower is to be a cylinder capped by a hemisphere. Please explain each step.

Floor \$10.00/sq ft

Wall \$15.00/sq ft

Roof \$20.00/sq ft

(Top Tutor) Daniel C.
(997)
School: UCLA

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Jun 21st, 2015
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