Question

A spherical snowball is melting at the rate of 2 cubic inches per minute (and it's staying spherical!). How fast is the radius of the snowball decreasing when the radius is one-half inch?

Answer 1

First, please type out the formula for the volume of a sphere of radius r.

V = ?


Once you have that, introduce rates of change by differentiating that formula with respect to t.

\[\frac{ dV }{ dt }=??\]