A corn cob (see Fig. 13.17), 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 cm2 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 radius of the base .

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

The curved surface area of a right circular cone is 12320 cm^2 . If the radius of its base is 56 cm, find its height.

The surface area of a cuboid is 1300cm^2 . If its length is 15 cm and height is 20 0cm, find its breadth.

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 .

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 right circular cone is 3.6 cm high and the radius of its base is 1.6 cm. it is melted and recast into a right circular cone with radius of its base as 1.2 cm. find its height.

Rachel, an engineering student, was asked to make a model shaped like a cyclinder. 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 the Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)