Question

A person connect a pipe of internal diameter 20m from a canal into a empty cylindrical tank in his field which D=10m and 2 m deep if the rate of flow of water through the pipe is 6km/hr, then after how much time the flow of water should be stopped to avoid overflow of water from the tank

Answer 1

I think it is helpful for you

Answer 2

Answer:

Time = 3.33 seconds

Step-by-step explanation:

Diameter of cylinder = 10 m

So, Radius of cylinder = 5 m

Height = 2 m

Volume of cylinder = π·r² × height

⇒ Volume of cylinder = π × 5² × 2

⇒ Volume of cylinder = 157.14 meter³

Speed of water = 6 km/hour

So, speed of water = 1.67 meter/second

Diameter of pipe = 20 m

Radius of pipe = 10 m

Water released per second = π·r² × speed of water

So, Water released per second = π × 10² × 1.67

                                                    = 523.80 meter³/second

$\text{Time taken to empty the tank = }\frac{523.80}{157.14}=3.33\text{ seconds}$