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Prove that the volume of the …

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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 sphere

    • Posted by Dharamraj Choudhary 5 years, 10 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 10 months ago

    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 

     

    0Thank You

    ANSWER
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