Question

water flows through a cylindrical pipe of internal diameter 7cm at 5m per sec. calcute the volume in litres of water discharged by the pipe in one minute.

Answer 1

Answer:

The volume in litres of water discharged by the pipe in 1 min = 1155 L

Step-by-step explanation:

Given : Water flows through a cylindrical pipe of internal diameter 7 cm at 5 m per sec.

To find : The volume in liters of water discharged by the pipe in one minute.

Solution :

The diameter of the cylinder is 7 cm

Radius of the cylinder is

$r=\frac{d}{2}\\\\r=\frac{7}{2}\\\\r=3.5 cm$

The length of the pipe is 5 m = 500 cm

Water flows per sec,

The volume of cylinder is $V=\pi r^{2}l$

Substitute the values in the formula,

$V=(3.14)(3.5)^{2}(500)$

$V=19250 cm^3$

The volume of water in 1 sec is 19250 centimeter cube.

The volume in 1 minute = 60 seconds is

$V=19250\times 60=1155000 cm^3$

$1 L=1000\text{ cm}^3$

$1\text{ cm}^3=\frac{1}{1000} L$

$1155000\text{ cm}^3=\frac{1155000}{1000} L$

$1155000\text{ cm}^3=1155 L$

The volume in litres of water discharged by the pipe in 1 min = 1155 L

Answer 2

Answer:

d = 7/2 = 3.5 cm

Volume of pipe in 1 sec = 22/7 (3.5)^2 ×500

=19250cm^3

Volume in 1 minute = 19250×60 = 1155000cm^3

Volume in litres = 1155000/1000= 1155 litre