1. A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 20 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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1. A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 20 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area.

2. An industrial tank of the shape described in question 1 must have a volume of 5000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize cost.

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