Question

Water flowing at the rate of 6km/hr through a pipe of diameter 14cm into a conical container of diameter 12m. Determine the time in which the level of water in the container will rise by 49 cm

Answer 1

Answer:

it will take 0.072 seconds

Step-by-step explanation:

Pipe: d=14cm h=unknown

Cone: d=12cm h=49cm(the rise)

V of pipe= V of cone

1/3pi r^2 h(cone)=pi r^2 h(cylinder)

pi gets cancelled

1/3*6*6*49=7*7*h

12*49=49*h

h=12 cm

height of cylinder is 12 cm

speed of water: 6kmph

6km=1hour

6*1000 m=1 hour

6*1000*100 cm=1hour=60 minutes=3600seconds

6*1000cm=36 seconds(cancelling the 0's)

1000cm=6 seconds

1cm=6/1000=0.006 seconds

12 cm=12*0.006=0.072 seconds