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How Many Litres of Water Flow Out of a Pipe Having an Area of Cross-section of 5cm2 in One Minute, If the Speed of Water in the Pipe is 30 Cm/ Sec? - Mathematics

Sum

How many litres of water flow out of a pipe having an area of cross-section of 5cm2 in one minute, if the speed of water in the pipe is 30 cm/ sec? 

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Solution

Given data is as follows:

Area of cross-section of the pipe = 5 cm2

Speed of water = 30 cm/sec

We have to find the volume of water that flows through the pipe in 1 minute.

Volume of water that flows through the pipe in one second = `pir^2h`

Here, `pir^2` is nothing but the cross section of the pipe and h is 30 cm.

Therefore, we have,

Volume of water that flows through the pipe in one second =  5 × 30

= 150 cm3

Volume of water that flows through the pipe in one minute = 150 × 60

= 9000 cm3

We know that 1000 cm3 = 1 liter. Therefore,

Volume of water that flows through the pipe in one minute = 9 liters

Hence, the volume of water that flows through the given pipe in 1 minute is 9 liters.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 23 | Page 22
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