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

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.