I need to simplify further the formula for the volume of a cylinder in pdf attached. I also need to interpret it.

Can you give me some hints? thanks

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- Jun 17th 2012, 02:28 PMtrojsiSimplify formula for rate of change of Volume
I need to simplify further the formula for the volume of a cylinder in pdf attached. I also need to interpret it.

Can you give me some hints? thanks - Jun 17th 2012, 04:53 PMProve ItRe: Simplify formula for rate of change of Volume
Your PDF does not make much sense. I suggest you post the WHOLE question with ALL relevant information, not just the bits you think are appropriate.

- Jun 17th 2012, 05:05 PMHallsofIvyRe: Simplify formula for rate of change of Volume
You are given that the volume of cylinder of radius r and height h is , that and that .

ONE way to do this is to replace h in the volume formula with that formula in terms of r:

and then replace "r" in that by its formula in terms of t.

Oh, wait- there is no "r" in that formula- the " " terms canceled out and we got V= 10, a constant! Well, what does that tell you about its derivative? - Jun 17th 2012, 05:10 PMProve ItRe: Simplify formula for rate of change of Volume