A corn cob (see the given figure), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length (height) as 20 cm. If each 1 `cm^(2)` of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob.

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

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius find the volume of the solid in terms of pi

The curved surface area of a cone is 628 cm^(2) and its slant height is 20 cm. Find its radius. (pi=3.14)

A right circular cylinder has base radius 14 cm and height 21 cm. Find its area of base (or area of each end)

The total surface area of a close cone is 176 cm^(2) . If its radius is 4 cm, find its slant height.

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 fez, the cap used by the Turks, is shaped like the frustum of a cone (see the given figure). If its radius on the open side is 10 cm, radius at the upper side is 4 cm and its slant height is 15 cm, find the area of material used for making it.

In the given figure, you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade.

Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)