Question

A cylindrical pipe has an inner diameter of 7 cm and water flows through it at 192.5 litres per minute. Find the rate of flow.

• A. 1
• B. 3
• C. 5
• D. 6

Answer 1

Answer: (A), (B)

The correct options are
A

1

B

3

Volume of water that flows per hour = (192.50 $\times$ 60) liters = (192.5 $\times$ 60 $\times$ 1000) $c{m}^3$.

The inner radius of the pipe = 3.5 cm.

Let the length of the column of water that flows in 1 hour be h cm.

Then,$\frac{22}{7}$ $\times$ 3.5 $\times$ 3.5 $\times$ h = 192.5 $\times$ 60 $\times$ 1000

h= 300000 cm = 3 km

Hence, the rate of flow = 3 km per hour =0.05 km per minute