Explore BrainMass

Explore BrainMass

    Volume maximization explained with an example

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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

    Solution Preview

    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 ...

    Solution Summary

    The easy and clear answer you were expecting for the question.