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

Answer 1

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.