Water is dropped at the rate of into a cone of semi-vertical angle

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

Problem

Water is dropped at the rate of

2\text{ m}^3/\text{s}

into a cone of semi-vertical angle

45^\circ

. If the rate at which periphery of water surface changes when the height of the water in the cone is

2\text{ m}

d

, then the value of

5d

is .....