how do you solve this?

Question

the volume V of a sphere of radius r is given by V=4/3πr^3. if a spherical balloon is being inflated at the rate of 100π in^3/min, how fast is its radius increasing at the instant its diameter reaches 10in?

Answer 1

Differentiate both sides of the equation with respect to time, realizing that the derivative of V is dV/dt and the derivative of r is dr/dt.

Plug in the values for dV/dt and r to solve for dr/dt.

Answer 2

Hope this Helps Kate!