In a rain-water harvesting system, the rain-water from a roof of 22 m x 20 m drains into a cylindrical tank having diameter of base 2 m and height 3.5 m. If the tank is full, find the rainfall in cm.
Anonymous:
hey what is the height of roof
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Hi Harsha!,
volume of roof= l x b x h
= 22X20 X h
height of roof= height of rainfall
volume of cylinder= 22/ 7 x 1x1 x35/10
and volume of water on roof = volume of water in cylindrical tank
22 X 20 X h =22/7 1 x 1 x 35/10
22 X 20 X h = 11
h=11/440
h= 1/40 m
h= 0.025 m= 2.5 cm
so the rainfall = 2.5 cm
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volume of roof= l x b x h
= 22X20 X h
height of roof= height of rainfall
volume of cylinder= 22/ 7 x 1x1 x35/10
and volume of water on roof = volume of water in cylindrical tank
22 X 20 X h =22/7 1 x 1 x 35/10
22 X 20 X h = 11
h=11/440
h= 1/40 m
h= 0.025 m= 2.5 cm
so the rainfall = 2.5 cm
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I hope it's help you.
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