A rocket is in the form of a circular cylinder closed at the lower end with a cone of the same radius attached to the top. The cylinder is of radius 2.5 m and height 21 m and the cone has the slant height 8 m. Calculate the total surface area and the volume of the rocket.

A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diamter and height of the cylinder are 6 cm and 12 cm , respectively. If the slant height of the conical portion is 5 cm, the find the total surface area and volume of the rocket. ( use pi = 3.14 ).

The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m, surmounted by a cone of equal base and slant height 12.5 m. Find the internal curved surface area and the capacity of the building.

A cone of same height and same base radius is cut from a cylinder of height 8 cm and base radius 6 cm .Find the total surface area and volume of the remaining solid.

The lateral surface of a cylinder is equal to the curved surface of a come. If the radius be the same, find the ratio of the height of the cylinder and slant height of the cone.

The lateral surface of a cylinder is equal to the curved surface of a come. If the radius be the same, find the ratio of the height of the cylinder and slant height of the cone.

A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate : the total area of the internal surface, excluding the base,

A metallic cone is melted and recast in to a cylinder of same radius and height 9 cm . Find the height of the cone.

A cone has a slant height of 8 and a lateral area of 48pi . What is the radius of the base of the cone ?

A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes.

A cylinder and a cone are of the same base radius and of same height. Find the ratio of the volume of the cylinder to that of the cone.