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Q :Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is 8/27 of the volume of the sphere.
Explanation :
Let r and h be the radius and height of the cone respectively inscribed in a sphere of radius R.
Let V be the volume of the cone.
∴ By second derivative test, the volume of the cone is the maximum when
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Devendra Maan 6 years ago
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