लम्ब वृत्तीय शंकु का आयतन
The volume of a cone defines the space or the capacity of the cone. A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex. A cone is formed by a set of line segments, half-lines or lines connecting a common point, the apex, to all the points on a base that is in a plane that does not contain the apex.
A cone can be seen as a set of non-congruent circular disks that are stacked on one another such that the ratio of the radius of adjacent disks remains constant.
Volume of a Cone =
where is the base radius and is the height of the cone.
Examples
1.The height and the slant height of a cone are cm and cm respectively.
Find the volume of the cone.
Solution:
From
cm
Volume of the cone =
= cm3