Rain water from roof of the house which is in the cuboidal shape with length and breadth 20 m and 22m respectively, drains into cylindrical tank without wastage of water. If the tank is full then find the height of roof wall?
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Explanation:
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. Write your views on conservation.
Medium
Updated on : 2022-09-05
Solution
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Rectangular roof : l=22m,b=20m
Cylindrical tank : r=1m,h=3.5m
The volume of tank =πr
2
h
=
7
22
×1×1×3.5
=
7
22
×
10
35
=11m
3
Area of roof =l×b=22×20=440m
2
Rainfall =
Area of roof
Volume of tank
∴ Rainfall =
440m
2
11m
3
=0.025m
∴ Rainfall is 2.5cm
Answer:
2.5 cm is the answer of this question