A right circular cylinder maintains a constant volume of while its radius increases at

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

Problem

A right circular cylinder maintains a constant volume of

1000\ \text{cm}^3

while its radius increases at

0.50\ \text{cm/s}

. When the radius is

4\ \text{cm}

, determine the instantaneous rate of change of the cylinder’s height

h

. Include units and indicate whether

h

is increasing or decreasing.