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प्रश्न
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.
उत्तर
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
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