# At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the instant when the surface area is 4 square meters and the radius is increasing at the rate of 1/6 meters per minute?

##### 1 Answer

Mar 25, 2015

We know the volume of a sphere relative to its radius is given by:

We are given that

Surface area at the time in question is

which implies since

We are asked for

and we are told that

So at the time indicated

and with