A right circular cone has fixed volume

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

Problem

V_0

. If its base radius and height are

r(t)

and

h(t)

, respectively, derive a differential equation that relates

\displaystyle \frac{dr}{dt}

and

\displaystyle \frac{dh}{dt}