Show that height of the cylinder of g...

Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle is one-third that of the cone and the greatest volume of cylinder is `4/(27)pih^3tan^2alphadot`

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Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is one-third that of the cone and the greatest volume of cylinder is 4/(27)pih^3tan^2alphadot

Show that the height of the cylinder of maximum volume that can be inscribed in a cone of height h is 1/3h

Show that the height of the right circular cylinder of maximum volume that can be inscribed in a given right circular cone of height h is (h)/(3)

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

The radius of cylinder of maximum volumne which can be inscribed in a right circular cone of radius R and height H ( axis of cylinder and cone are same ) is given by

Show that the cone of the greatest volume which can be inscribed in a given sphere has an altitude equal to 2/3 of the diameter of the sphere.

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6g

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