(a) A cylindrical water tank of diameter 1.4m and height 2.1 m is bein

1.	(a) A cylindrical water tank of diameter 1.4m and height 2.1 m is being fed by a cive ot du3.5 cm through which water flows at the rate of 2m/ s. calculate the tirne it zabetank (4)
Answer» Answer: The time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds. Step-by-step explanation: Given the diameter of cylinder = 1.4 m => Radius = 1.4/2 = 0.7 m We know that volume of a cylinder = πr²h = 3.14 x 0.7² x 2.1= 3.23 m³ For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m water flows at a rate of 2 m per second So, volume of water discharged in one second by pipe = πr²L = 3.14 x 0.0175² x 2=0.0019 Hence time taken by the pipe to fill the cylinder = 3.23/0.0019= 1700 sec = 28 minutes and 20 seconds Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.

(a) A cylindrical water tank of diameter 1.4m and height 2.1 m is being fed by a cive ot du3.5 cm through which water flows at the rate of 2m/ s. calculate the tirne it zabetank (4)

Answer»

Answer:

The time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.

Step-by-step explanation:

Given the diameter of cylinder = 1.4 m

=> Radius = 1.4/2 = 0.7 m

We know that volume of a cylinder = πr²h

= 3.14 x 0.7² x 2.1= 3.23 m³

For the pipe radius = 3.5/2 = 1.75 cm = 0.0175m

water flows at a rate of 2 m per second

So, volume of water discharged in one second by pipe = πr²L

= 3.14 x 0.0175² x 2=0.0019

Hence time taken by the pipe to fill the cylinder

= 3.23/0.0019= 1700 sec

= 28 minutes and 20 seconds

Hence the time taken by the pipe to fill the cylinder is 28 minutes and 20 seconds.