Home
Class 12
MATHS
Prove that the radius of the right circu...

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

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

Prove that for a cone made by rolling up a semicircle, the curved surface area is twice the base area.

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin^-1(1/3) .

Find the height of the cylinder of maximum volume that can be inscribed in a sphere of radius a.

Of all the cylinders with given surface area, show that the volume is maximum when height is equal to the diameter of the base .

Radius and slant height of a solid right circular cone are 35cm and 37cm respectively,Find the curved surface area and total surface area of the cone.

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.