Question 1185753
<br>
The given information makes finding the answer easy, if you know the basic method for solving the problem.<br>
{{{V = (4/3)(pi)r^3}}}<br>
{{{dV/dt = 4(pi)(r^2)(dr/dt)}}}<br>
The {{{4(pi)(r^2)}}} is given, so<br>
{{{dV/dt = (10)(3) = 30}}}<br>
ANSWER: When the surface area is 10 square millimeters, the volume is increasing at a rate of 30 cubic millimeters per second.<br>