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Q.

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

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a

5: 7

b

6: 7

c

7: 3

d

7: 6

answer is C.

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Detailed Solution

Let diameter and height of cylindrical pillar are 2r and h respectively. 

According to question

πr2h2πrh=924264 r2=924264 r=924264×2=7m

and 2πh=264

 2×227×7×h =264 h=26444 =6m

Hence, required ratio=2r :h

=2×7:6 =7:3

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