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Show that the altitude of the …

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Show that the altitude of the right circular cone of maximum volume inscribed in a sphere of radius r is 4r/3. Also find the maximum volume in terms of the sphere.

    • Posted by Nishant Brathi 6 years, 7 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 7 months ago

    A sphere of fixed radius (r) is given.
    Let R and h be the radius and the height of the cone respectively.

    Hence, it can be seen that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3.

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