The rate at which water flows into a tank at time minutes is litres per minute

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The rate at which water flows into a tank at time

t

minutes is

k t^{2}

litres per minute. The volume of water in the tank is

0

litres at

t=0

and

100

litres at

t=2

minutes. Find the value of

k