Multiple choice

The curved surface area of a cylinderical pillar is 264 m2. and its volume is 924 m3. The ratio of its diameter to height is - किसी बेलनाकार खम्भे के वक्र पृष्ठ का क्षेत्रफल 264 मी2 है और उसका आयतन 924 मी3. है तो उसके व्यास और ऊँचाई का अनुपात है -

  1. 3 : 7

  2. 7 : 3

  3. 6 : 7

  4. 7 : 6
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B Correct answer
Explanation

For cylinder: CSA = 2πrh = 264, Volume = πr²h = 924. Dividing Volume by CSA: (πr²h)/(2πrh) = 924/264, which gives r/2 = 3.5, so r = 7. Then h = (924)/(π × 7²) = 3. Diameter:height = 2r:h = 14:3 = 7:3.

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