Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a
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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,