Cone

Text Solution

Verified by Experts

Cone

This chapter revolves around the concept of cone, including shapes of cone, the surface area of cone and volume of the cone. Students would be able to get the right understanding of how to solve different problems as we have included solved problems at the end.

What is a Cone?

A cone is a shape which is formed by the lines that connect a common point. This is known as the vertex or apex. When it comes to the height of the cone, it is the distance from the vertex of the cone to the base. It is important to know that the slant height is the length of the cone from apex to any point and that too on the circumference of the base. So, there are lots of different formulas which are derived for the volume and surface area of the cone bases on these quantities. You can look at the figure below where the cone is defined by the radius of the base, its height and slant height.

...
Promotional Banner

Similar Questions

Explore conceptually related problems

Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ration of the area base of Cone P to the area of the base of Cone Q?

An ice cream cone consists of a right circular cone and a hemisphere that has the same base as thatof the cone.The height of the cone is 8cm and the diameter of its base is 6cm. The volume of the ice-cream in the cone is

A right circular cone is sliced into a smaller cone and a frustum of a cone by a plane perpendicular to its axis. The volume of the smaller cone and the frustum of the cone are in the ratio 64 : 61. Then their curved surface areas are in the ratio

A solid spherical metal ball of diameter 72 cm is melted and recast into small solid cones of diameter 6 cm and height 6 cm. Find the number of cones that can be formed using this melted metal. A)3456 cones B)3600 cones C)3568 cones D)3200 cones

The height of a cone is 40cm. A small cone is cut off at the top by a plane parallel to its base.If the volume of a small cone is (1)/(64) of the volume of the given cone,at what height above the base is the section made?

Given a sphere,a cone is constructed so that the cone and the sphere have the same volume,but the total surface area of the cone is k xx that of the sphere,where k is determined so that there is a unique cone satisfying this property.Then k equals:

The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is