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

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1. 

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

[A]. 3 : 7
[B]. 7 : 3
[C]. 6 : 7
[D]. 7 : 6

Answer: Option B

Explanation:

 

r2h = 924          r = 1-sym-oparen-h1 924 x 2 1-sym-cparen-h1 = 7 m.
2rh 264 264
And, 2rh = 264          h = 1-sym-oparen-h1 264 x 7 x 1 x 1 1-sym-cparen-h1 = 6m.
22 2 7
 Required ratio = 2r = 14 = 7 : 3.
h 6
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