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In a rain water harvesting system ,the rain water from a roof top of 22m×20m drains into a cylindrical tank having diameter of base 2m and height 3.5m ,if the tank is full ,find the rainfall in cm .write your views on water conservation.

Posted by _T_A_N_U_78 ??? 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Gaurav Seth 6 years, 11 months ago

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

2Thank You

Rahul Raj 6 years, 11 months ago

Sorry π(100)^2×350 cm^3

2Thank You

Rahul Raj 6 years, 11 months ago

Is it correct?

2Thank You

Rahul Raj 6 years, 11 months ago

Volume of rainwater (in cm)=π(50)^2×350 cm^3

2Thank You

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