# Related Rates of a Cylinder

• May 10th 2012, 03:27 PM
titansfreak93
Related 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 meters3/min. How fast is the water level rising when the cylinder is half full?
• May 10th 2012, 03:54 PM
skeeter
Re: Related Rates of a Cylinder
Quote:

Originally Posted by titansfreak93
Water is being pumped into a vertical cylinder of radius 4 meters and height 15 meters at a rate of 2 meters3/min. How fast is the water level rising when the cylinder is half full?

$V = \pi r^2 h$

$V = 16\pi h$
you are given $\frac{dV}{dt}$ , take the time derivative of the volume equation and determine $\frac{dh}{dt}$ ... you'll find that the amount in the cylinder doesn't matter.