A collapsible spherical tank is being relieved of air at the rate of 2 cubic inches per minute. At what rate is the radius of the tank changing when the surface area is 12 square inches?
1 Answer
Nov 28, 2016
radius is changing at the rate of
Explanation:
Let us set up the following variables:
Then "tank is being relieved of air at the rate of 2 cubic inches per minute"
Because the tank is spherical then:
By the chain rule we have;
So, when