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Question
The curved surface area of a cylinder is 264 m2 and its volume is 924 m3. The ratio of its diameter to its height is
Options
3 : 7
7 : 3
6 : 7
7 : 6
Solution
The C.S.A. of cylinder
S = 264 m2
The volume of cylinder
V = 924 m3
`2pirt = 264`
`2rh = (264 xx 7)/22`
`2rh = 84` ...........(1)
`rh = 42`
`pir^2h = 924`
`r(rh) = (924 xx 7)/22`
`r(rh) = 42 xx 7` ...........(2)
From eq. (1) and (2),
We get r = 7
Putting the value in (1) h = 6
Hence , `d/h = 14/6 = 7/3`
d : h = 7 : 3
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