A snowball, in the shape of a sphere, is melting so that the radius is decreasing at a uniform rate of 1cm/s. How fast is the volume decreasing when the radius equals 6cm?
2 Answers
We can write the first relationship (in
We know that the formula for the volume of a sphere is:
Also, the derivative of
Thus, if we differentiate this with respect to
Finally, we can plug it in:
Therefore, when
The volume is decreasing at a rate of
Explanation:
We are told that
We need to find
We know:
So:
So when the radius