From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in 1 hour.

Solution:

The volume of the water which flows in the pipe depends upon the area of cross-section of the pipe.

The Area of cross section of the pipe is = πr² = π(0.75)(0.75) = 0.5625π cm²

The column of water (length) generated in one hour is = 700 × 60 × 60 = 2520000 cm

Volume of water delivered in one hour = 2520000 × 0.5625 × (22/7) = 4455000cm³

Now we know that 1 litre = 1000cm³

Therefore

Volume of water in litres generated in one hour = 4455 litres

✦ Try This: From a pipe of inner radius 0.80 cm, water flows at the rate of 14 m per second. Find the volume in litres of water delivered by the pipe in 1 hour.

The volume of the water which flows in the pipe depends upon the area of cross-section of the pipe.

The Area of cross section of the pipe is = πr² = π(0.0.8)(0.0.8) = 0.64π cm²

The column of water (length) generated in one hour is = 1400 × 60 × 60 = 5040000 cm

Volume of water delivered in one hour = 5040000 × 0.64 × (22/7) = 10,137,600cm³

Now we know that 1 litre = 1000cm³

Therefore

Volume of water in litres generated in one hour = 10,137.6 litres

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 113

From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in 1 hour.

Summary:

From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. The volume in litres of water delivered by the pipe in 1 hour. Is 4455

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