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


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

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Given data is as follows:

Curved Surface Area = 267 m2

Volume = 924 m3

We have to find the height and diameter of this cylinder.

We know that,

Volume = `pir^2h`

`pir^2h` = 924

 `(pirh)r`=924 ……(1)

Also, it is given that

Curved Surface Area = 267

That is,


`pirh = 264/2` ……(2)

Now let us replace the value of `pirh` in equation (1). We get,

`(264/2) xx r `=924


Therefore, diameter =  7 × 2

= 14 cm

Substitute the value of r in equation (2). We get,

`22/7 xx 7 xx h = 264/2`

 h = 6

Therefore, the answer to this question is,

Diameter of the cylinder = 14 m

Height of the cylinder = 6 m

  Is there an error in this question or solution?
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RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 14 | Page 21
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