Water is pumped into a spherical tank at a constant rate of 5 ft /min

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

Problem

Water is pumped into a spherical tank at a constant rate of 5 ft

^{3}

/min. Find the rate, in inches per minute, at which the radius of the water surface is increasing when the radius is 6 ft.