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?
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?
since radius is constant ...
you are given , take the time derivative of the volume equation and determine ... you'll find that the amount in the cylinder doesn't matter.