The diameter (in centimeters) of a melting spherical hailstone at time (in minutes)…

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

Problem

The diameter (in centimeters) of a melting spherical hailstone at time

t

(in minutes) is given by

d(t)=\sqrt{40-3t}

. Find the rate of change of the hailstone’s volume at

t=5\text{ min}

. State units.