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Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere…
Show that the altitude of a right circular cone of maximum volume that can be inscribed in a sphere of radius $r$ is $\frac{4r}{3}$.
Given: A right circular cone inscribed in a sphere of radius $r$
To show: Altitude of the cone of maximum volume is $\frac{4r}{3}$
Answer
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From ISC 2018 Specimen Mathematics Paper 1, question 12(a).