Water is being pumped into a vertical cylinder of radius 5 meters and height 20 meters at a rate of 3 meters/min. How fast is the water level rising when the cylinder is half full?
1 Answer
Feb 20, 2017
I assume that there is an error and it should be
Explanation:
Variables
(implicit variable:
(Note that the radius of the water is constant
Rates of change
Find
Equation relating the Variables
Volume of a cylinder:
Volume of water:
Equation relating rates of change
(Differentiate both sides of the last equation with respect to
Finish
Substitute what we know, solve for what we want: