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# Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm

**Solution:**

Given, water is flowing at the rate of 15 km/hr through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide.

We have to find the time at which the level of water in the pond rise by 21 cm.

Volume of cylindrical pipe = πr²h

Given, diameter = 14 cm

Radius = 7 cm

1 m = 100 cm

Radius = 7/100 = 0.07 m

Rate of flow = 15 km/hr

1 km = 1000 m

Rate of flow = 15(1000) m/hr

= 15000 m/hr

Volume of water flowing through the cylindrical pipe in one hour = (22/7)(7)²(15)

= (22/7)(0.07)²(15000)

= 1617/7

= 231 m³

Volume of cuboidal pond = length × width × depth

Given, length = 50 m

Width = 44 m

Depth = 21 cm

1 m = 100 cm

Depth = 21/100

= 0.21 m

Volume of pond = 50 × 44 × 0.21

= 462 m³

Now, time taken by the pipe to fill the pond with water to a height of 21 cm = volume of pond/volume of water flowing through the pipe in one hr

= 462/231

= 2 hr

Therefore, the time taken by the pipe to fill the pond with water upto 21 cm is 2 hours.

**✦ Try This:** Water is flowing at the rate of 25 km/h through a pipe of diameter 22 cm into a cuboidal pond which is 60 m long and 54 m wide. In what time will the level of water in pond rise by 50 cm?

**☛ Also Check:** NCERT Solutions for Class 10 Maths Chapter 13

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**NCERT Exemplar Class 10 Maths Exercise 12.4 Problem 8**

## Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 cm

**Summary:**

Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. The level of water in the pond rose by 21 cm in 2 hours

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