Water is being pumped into a vertical cylinder of radius 4 meters and height 15 meters at a rate of 2 meters^{3}/min. How fast is the water level rising when the cylinder is half full?

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- May 10th 2012, 03:27 PMtitansfreak93Related Rates of a Cylinder
Water is being pumped into a vertical cylinder of radius 4 meters and height 15 meters at a rate of 2 meters

^{3}/min. How fast is the water level rising when the cylinder is half full? - May 10th 2012, 03:54 PMskeeterRe: Related Rates of a Cylinder
$\displaystyle V = \pi r^2 h$

since radius is constant ...

$\displaystyle V = 16\pi h$

you are given $\displaystyle \frac{dV}{dt}$ , take the time derivative of the volume equation and determine $\displaystyle \frac{dh}{dt}$ ... you'll find that the amount in the cylinder doesn't matter.