Question

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.

Answer 1

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,

`2pirh`=264

`pirh = 264/2` ……(2)

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

`(264/2) xx r `=924

`r=7`

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