1
Question
In a rain water harvesting system, the rain water from a roof of 22×20 meter drains into a cylindrical tank having diameter of base 2m and height of 3.5m. If the tank is full, find the rainfall in cm.
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Solution
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 1x35/10
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
= 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 1x35/10
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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