A spherical snowball melts so that its radius decreases at a rate of 4 in/sec. At what rate is the volume of the snowball changing when the radius is 8 in?
1 Answer
Sep 1, 2016
The formula for volume of a sphere is
Differentiating with respect to
The rate of change of the snowball is given by
Thus, the volume of the snowball is decreasing at a rate of
Hopefully this helps!