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Question
πThe height of a cylinder is 14 cm and its curved surface area is 264 cm2. The volume of the cylinder is
Options
308 cm3
396 cm3
1232 cm3
1848 cm3
Solution
396 cm3
Curved surface area of the cylinder
`=2pi"rh"`
`=2xx22/7xx"r"xx14`
Therefore,
`2xx22/7xx"r"xx14 = 264`
`=> "r" =264/88`
⇒ r = 3 cm
Hence, the volume of the cylinder `=2pi"rh" `
`=2xx22/7xx14xx"h"`
Therefore
`2 × 22/7 xx 14 xx "h" = 1760`
`=> "h" = 1760/88 "cm"`
⇒ h = 20 cm
Hence, the height of the cylinder is 20 cm.
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