Multiple choice

If the height of a given cone be doubled and radius of base remains the same, the ratio of the volume of the given cone to that the second cone will be - यदि दिये गये शंकु की ऊँचाई को दोगुना कर दिया जाए तथा त्रिज्या समान रहे तो दिये गये शंकु का आयतन और दूसरे शंकु के आयतन के मध्य अनुपात होगा-

  1. 8 : 1

  2. 2 : 1

  3. 1 : 2

  4. 1 : 8
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C Correct answer
Explanation

Volume of cone V = (1/3)πr²h. For first cone: V₁ = (1/3)πr²h. For second cone (height doubled, radius same): V₂ = (1/3)πr²(2h) = 2V₁. The ratio V₁:V₂ = 1:2. This tests understanding that volume is directly proportional to height when radius is constant, since V ∝ h.

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