This question was asked in 2014 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of solid, page number 811, exercise 17B, problem number 21
Deepak BoraNewbie
The rain water from a roof of 44 m × 20 m drains into a cylindrical tank having diameter of base 4 m and height 3.5 m. If the tank is just full, then find the rainfall in cm.
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Given data,
the length of the roof, l = 44 m,
the width of the roof, b = 20 m,
the height of the cylindrical tank, H = 3. 5 m
the base radius of the cylindrical tank, R = 4/2 = 2 m
volume of rainfall = volume of the cylindrical tank
lbh = πR²H
44 * 20 * h = [22/7] * 2² * 3.5
h = ( [22/7] * 2² * 3.5 ) / ( 44 * 20 )
h = 1/20 m
h = 100/20 cm
h = 5 cm
∴ rainfall = 5 cm
So, the height of the rainfall is 5 cm