An oil funnel made of tin sheet consists of a cylindrical portion 10 cm long attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel.

A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the surface area of the solid.

A tent is in the form of a right circular cylinder, surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m, while the vertex of the cone is 16 m above the ground. Find the area of the canvas required for the tent.

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

A Joker’s cap is in the form of a right ciruclar cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

The diameter of a cylinder is 28 cm and its height is 40 cm. find the curved surface area and the total surface area of the cylinder.

In the Fig., solid consists of a cylindrical section of length 6.5 cm and surmounted by a cone at one end, a hemisphere at the other end. Given that common radius is 3.5 cm and the total height of solid is 12.8 cm find the volume of solid

The volume of a right circular cone is 9856 cm^3 . If the diameter of the base is 28 cm, find height of the cone. Assume pi = 22/7 , unless stated otherwise.

An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (see Fig. 13.23). The diameters of die two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, Find the volume of water the bucket can hold. (Take pi=22/7 ).