A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the radius is 15 cm. (Note the answer is a positive number).

1130.97 cm/min.

Step-by-step explanation:

The volume of a sphere is given by the following equation:

We have to do the implicit differentitaiton of V in function of t. The are only two variables(V and r). So

We have to find when . So

The negative means that the volume is decreasing.

The volume of the snowball is decreasing at the rate of 1130.97 cm/min when the radius is 15 cm.

So the answer is 1130.97 cm/min.

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