Question

. A right triangle is drawn inside a sphere, and the hypotenuse is 12 cm. What is the radius of the sphere? Round your final answer to the nearest hundredth.

Answer 1

Answer: How do you find the rate of change of volume?

The rate of change in volume is dV/dt. The question is asking for the rate that the side length is changing. That would be ds/dt. If we take the derivative of both sides of V = s^3 with respect to time, we get dV/dt = d/dt[s^3].