A right circular cylinder has fixed volume

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

500\text{ cm}^3

. The radius

r

of the base is increasing at

0.20\text{ cm/s}

. What is the instantaneous rate of change of the height

h

when the radius is

3.0\text{ cm}

? (a)

2.4\text{ cm/s}

(b)

-1.2\text{ cm/s}

(c)

-2.4\text{ cm/s}

(d)

-0.24\text{ cm/s}