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Question
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.
Solution
We have,
the length of the roof, b = 20m,
the height of the cylindrical tank, H =3.5 m and
the base radius of the cylindrical tank, `R =4/2 =2 "m"`
Let the height of the rainfall be h.
Now,
volume of rainfall = Volume of cylindrical tank
⇒ lbh = πR2H
`rArr 44xx20xxh = 22/7xx2xx2xx3.5`
`rArr h = 22/7xx(2xx2xx3.5)/(44xx20)`
`"h" = 1/20 "m"`
`"h" = 100/20 "cm"`
∴ h = 5cm
so the height of the rainfall is 5 cm
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