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The radius and height of a cylinder a...

The radius and height of a cylinder are in the ratio 5 : 7 and its volume if `550\ c m^3dot` Find its radius. `(U s e\ pi=(22)/7)`

Text Solution

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Let height of cylinder h = 7x and radius r = 5x
`therefore` Volume of cylinder `= pi r^(2)h`
`=(22)/(7)xx(5x)^(2)xx(7x)`
`=550 x^(3)`
Given that `550x^(3)=550`
`rArr x^(3)=1`
`rArr x = 1`
`therefore` Radius of cylinder `=5x = 5xx1=5 cm`
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