In given problem there is need to use time conversion. And the problem given from RS Aggarwal book, problem number 25, page number 811, exercise 17B, chapter volume and surface area of solid.

Chapter Mensuration

Deepak BoraNewbie

# Water is flowing at the rate of 6 km/hr through a pipe of diameter 14 cm into a rectangular tank which is 60 m long and 22 m wide. Determine the time in which the level of water in the tank will rise by 7 cm.

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solution

given data,

Speed of the water flowing through the pipe, H = 6 km/h

= 600000 / 3600

= 500/3 cm/s,

Radius of the pipe, R = 14/2 = 7 cm,

Length of the rectangular tank, l = 60 km = 6000 cm,

Breadth of the rectangular tank b = 22 m = 2200 cm

volume of the cylindrical vessel = volume of the rectangle tank

πr²h * t [ time taken ] = l*b*h

[22/7] * [7/100]² * 6000 * t = 60 * 22 * [7/100]

t = ( 60 * 22 * [7/100] ) / ( [22/7] * [7/100]² * 6000 )

t = 1 hour

∴ the time in which the level of water in the tank will rise by 7 cm is 1 hour