For a right circular cone with volume

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

Problem

V = \tfrac{1}{3}\pi r^{2}h

, write an expression for

\dfrac{dV}{dt}

in terms of

r

h

\dfrac{dr}{dt}

, and

\dfrac{dh}{dt}