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The rain water from a roof af dimensio...

The rain water from a roof af dimensions ` 22 m xx 20 m ` drains into a cylindrical vessel having diameter of bases 2 m and height 3.5 m. If the rain water collected form the roof just fill the cylindrica vessl, them find the rainfull (in cm).

Text Solution

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Let total rain = h meter
`therefore` Volume of rain water on the roof `= 22xx20xx hm^(3)`
Radius of cylindrical vessel 'r' `=(2)/(2)=1 m`
Height 'H' = 3.5 m
Volume of vessel `=pi r^(2)h`
`=(22)/(7)xx1xx1xx3.5=11m^(3)`
`therefore 22xx20xxh=11`
`rArr h=(11)/(22xx20)m`
`rArr h=(11xx100)/(22xx20)cm = 2.5 cm`
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