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Question
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. The height of the pillar is
Options
4 m
5 m
6 m
7 m
Solution
6 m
The curved surface area of a cylindrical pillar = 2πrh
Therefore, `2pi"rh" = 264`
Volume of a cylinder = πr2h
Therefore, πr2h = 924
Hence ,
`(pi"r"^2"h")/(2pi"rh") = 924/264`
`=> "r"/2 = 924/264`
`=> "r" = ((924xx2)/(264))`
⇒ r = 7 m
Therefore,
2πrh = 264
`=> 2xx22/7xx7xx"h" = 264`
`=> "h" = 264/44`
⇒ h = 6 m
Hence, the height of the pillar is 6 m.
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