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Prove that the semi-vertical angle of the right circular cone of given volume and least curved area…
Prove that the semi-vertical angle of the right circular cone of given volume and least curved area is $\cot^{-1}\sqrt{2}$.
Given: \text{A right circular cone of given volume and least curved area}
To show: \text{Semi-vertical angle } = \cot^{-1}\sqrt{2}
Answer
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From ISC 2023 Mathematics Paper 1, question 12(i).