An iron sperical ball of volume `232848 cm^(3)` has been melted and converted into a cone with the vertical angle of `120^(@)`. What are its height and base?

The height of a right circular cone is 40 cm and semi-vertical angle is 30^@ , the slant height of the cone is =?

The radius of a right circular cone is 7 cm at its vertical angle is 60^@ . Find the curved surface area of the cone.

The curved surface area of a cone is 4070 cm^2 and its diameter is 70 cm . What is its slant height ?

A closed right circular cylinder has volume 2156cm^(3) . What will be the radius of its base so that its total surface area is minimum ?

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

The base area of a cone is 38.5cm^(2) .Its volume is 77 cm ^(3) Find its height .

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 (2)/3 cm and height 3cm. Find the number of cones so formed.

Curved surface area of a cone is 308 cm ^(2) and its slant height is 14 cm Find. radius of the base .

How many percentage of the volume of a right circular cone will be increased or decreased if its radius of base is increased by 20% and its height is decreased by 10% ?

The height of a right circular cone is 30 cm . A small part of the cone is cut off from the above part of the cone with the help of a plane parallel to the base of the cone. If the volume of the small part be (1)/(27) part of the volume of the original cone , then at what distance above the base of the cone , it has been cut off ?