A rectangular shape parking lot is to have a perimeter of 550 yards. If the width must be 93 yards because of a building code wh
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Given:
The diameter of the right cylinder is 2x cm.
The total surface area is 96 cm cube.
The radius is calculated as,
The total surface area is,
Volume is,
Now, differentiate with respect to x,
Now,
Now, differentiate (1) with respect to x again,
Since, the double derivative is negative.
So, the volume becomes,
Answer: maximum volume of the cylinder is,