(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

((I cannot, for the love of life, understand related rates, so please bear with me. Thank you! ))

A cylindrical tank with radius 5m is being filled with water at a rate of 3m^{3}/min. How fast is the height of the water increasing?

I'm having trouble interpreting this question - actually, most related rates questions, having trouble differentiating between what I would call the volume and what not.

2. Relevant equations

v= (pi)r^{2}h

3. The attempt at a solution

So, I'm gonna say that I know the rate of change of the volume - which means I need to get the height in terms of the volume?

since v= (pi)r^{2}h

h= v/((pi)r^{2})

h' = (dy/dx [v]((pi)r^{2}) - dy/dx[(pi)r^{2}](v))/((pi)^{2}r^{4})

h' = (3(2pir^2) - 2pirv)/ ((pi)^{2}r^{4})

I'm pretty sure this is wrong since I ended up with a "v" in my numerator which I don't know the value of.

How would I go about solving this?

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# Homework Help: Related Rates problem

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