Afarmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in his field which is 10 m in diameter and 2 m deep. if water flows through the pipe at the rate of 3 km/hr, in how much time will the tank be filled

It takes 100 minutes to fill the tank.

Step-by-step explanation:

Let the length of the  pipe used for filling the tank be h

Then

Volume of the  pipe =  volume of the tank

Step 1: Finding the volume of the pipe

The pipe is in cylindrical form with height h and diameter 20m

The volume of the pipe  =

Where r is the radius of the pipe

r =

r =

r = 10cm =

The volume of the pipe

=>

=>

=> -----------------------------------(1)

Step 2: Finding the volume of the tank

The volume of the tank =

Where r is the radius of the tank

r =

r =

r = 5

The volume of the pipe

=>

=> -------------------------------------(2)

Equating (1) and (2)

=  

=  50

h =  50 X 100

h =5000m =5km

The flow rate of water through the pipe  = 3 km/hr

time taken to travel 3 km  = 1 hours

so time taken 1 km  = hours

To Travel 5 km

=> hours

=> hours

converting into minutes

=>

=>

=> 100 minutes

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x