A cylindrical water tank of diameter 1.4m and height 2.1m is being feed by a pipe of diameter 3.5cm through which water follows at the rate of 2m/per second . In how much time the tank will be filled ???

volume of tank

= π(.7^2)(2.1) = 1.029π m^3

radius of pipe = .0175 m
volume of water per second going through pipe
= π(.0175^2)(2) = .006125 m^3 /sec

time = 1.029π/.006125π sec = 1680 sec
= 28 minutes

how did the radius become 0.0175? 3.5 is the diameter so 3.5/2=1.75

pls correct.iam confused with this qyestion

how did the radius become 0.0175? 3.5 is the diameter so 3.5/2=1.75

pls correct.iam confused with this qyestion
sry sry its 3.5 cm its my mistake

1. 75 is in cm then convert into metre

Then the ans is 0. 175

Best

To calculate the time it takes to fill the cylindrical water tank, we need to find the volume of the tank and then divide it by the rate at which water flows into the tank.

1. Find the volume of the tank:
The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the cylinder and h is the height. The diameter given is 1.4m, so the radius is half of the diameter, which is 0.7m. The height of the tank is given as 2.1m.
V = π(0.7^2)(2.1)
V ≈ 1.227 m^3

2. Find the time to fill the tank:
Since the water flows at a rate of 2m/s, the flow rate is given in meters per second. To find the time it takes to fill the tank, we divide the volume of the tank by the flow rate.
Time = Volume / Flow rate
Time = 1.227 m^3 / 2 m/s
Time ≈ 0.6135 seconds

Therefore, it takes approximately 0.6135 seconds to fill the tank.