Water flows into a tank at a rate given by liters per hour

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Water flows into a tank at a rate given by

r(t)=3t

liters per hour, where

t

is the time in hours since filling began. The tank is initially empty. At what time

t

(in hours) has exactly

27

liters of water flowed into the tank? (a)

9

(b)

2\sqrt{3}

(c)

3\sqrt{2}

(d)

3