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Calculus/surface areas and volume

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Question
please sir, solve this:water flows from a tap into a cylindrical container at the rate 5pie cm^3 per second.if the radius of the container is 3cm,calculate the level of water in the container at the end of 9seconds.

Answer
You don't need calculus for this.

After 9 seconds , the volume will be 45π .

The water will be a cylinder with radius 3 and height h.

The volume of a cylinder with radius r and height h is πrh

So, after 9 seconds,  45π = π9h , and h = 5 . The water level will be at 5 cm  

Calculus

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I can answer questions from the standard four semester Calculus sequence. I am not prepared for questions on Tensor Calculus. Everything else is welcome. Derivatives, partial derivatives, ordinary differential equations, single and multiple integrals, change of variable, vector integration (Green`s Theorem, Stokes, and Gauss) and applications.

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Ph.D. in Mathematics and many years teaching Calculus at state universities.

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B.S. , M.S. , Ph.D.

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