For a metal sphere

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For a metal sphere, the volume is increasing at the constant rate

\dfrac{dV}{dt}=50\pi\,\text{cm}^{3}\text{ s}^{-1}

. Find the rate of increase of its surface area when the radius is

10\,\text{cm}