A hot water tank is a vertical cylinder surmounted by a hemispherical top of the same diameter . The tank is designed to hold 750m^3 of liquid.
Determine using Lagrange multipliers the total height and the diameter of the tank if surface heat loss is to be a minimum.© BrainMass Inc. brainmass.com October 10, 2019, 12:26 am ad1c9bdddf
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Let r be the tank's radius and h the cylinder's height.
The volume ...
Lagrange multipliers are employed.