A melting ice sphere has volume decreasing at 150 ,cm /min

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

Problem

A melting ice sphere has volume decreasing at 150\,cm

^{3}

/min. At the instant its radius is 6\,cm, what is the rate of change of the radius? (a)

-\dfrac{25}{18\pi}\text{ cm/min}

(b)

\dfrac{25}{24\pi}\text{ cm/min}

(c)

-\dfrac{25}{24\pi}\text{ cm/min}

(d)

-\dfrac{25}{12\pi}\text{ cm/min}