Volume maximization explained with an example
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Find the dimensions of a cylinder with a surface area of 300 cm^2 with a maximum volume.© BrainMass Inc. brainmass.com March 6, 2023, 1:11 pm ad1c9bdddf
The surface area of the cylinder is,
300 = 2(pi r^2) + (2pi rh)......(1)
and the cylinder is, V = (pi) r^2 h .....(2)
where h is the height of the cylinder and r its radius.
To find the maximum volume we ...
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