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Question
The sum of the radius of the base and the height of a solid cylinder is 37 metres. If the total surface area of the cylinder be 1628 sq metres, then find its volume.
Solution
Let r and h be the base radius and the height of the solid cylinder, respectively.
We have,
(r + h) = 37m
As, the total surface area of the cylinder = 1628 m2
`rArr 2pir(r + h) = 1628`
`rArr 2 xx 22/7xxrxx37 = 1628`
`rArr r = (1628xx7)/(2xx22xx37)`
`rArr r = 7 "m"`
So , h = (37 - 7) = 30 m
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