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The Curved Surface Area of a Cylindrical Pillar is 264 M2 and Its Volume is 924 M3. the Height of the Pillar is - Mathematics

MCQ
Sum

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

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Solution

6 m
The curved surface area of a cylindrical pillar = 2πrh

Therefore, `2pi"rh" = 264`

Volume of a cylinder = πr2

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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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 53 | Page 923
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