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

Answer 1

The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. The height of the pillar is 6 m.

Explanation:

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.