A right triangle has legs of length h and r, and a hypotenuse of length 4 (see
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A right triangle has legs of length h and r, and a hypotenuse of length 4 (see figure). It is revolved about the leg of length h to sweep out a right circular cone. What values of h and r maximize the volume of the cone? (Volume of a cone = πr2h/3.)
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The objective function to be maximized is the volume of the cone given by V r 2 h3 By the Pythagor...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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