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 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.

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.

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

The base area and the curved surface area of a cylinder are equal. What is the ratio of the base radius and height?

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.

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

Whatis the area of the curved surface of a cone of base radius 12 centimetres and slant Height 25 centimetres?

What is the area of the curved surface a cone of base radius 12 centimetres and slant height 25 centimetres?

a) Radius of a cylinder is 10 cm and its height is 5 cm . Find the base area and the curved surface area of the cylinder. b) The curved surface area of a cylinder is equal to its base area and its height is 12 cm . What is its radius?

Sand is pouring from a pipe. The falling sand forms a Cone on the ground in such a way that the height of the Cone is always one-sixth of the radius of the base. Establish a relation between the volume 'v' and height 'h' of the Cone using the given condition.