PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoCone:
A right circular cone is a cone whose apex (top vertex of the cone) is perpendicular to the centre of the base of the circle.
Volume of a right circular cone:
Let \('r'\) be the radius and \('h'\) be the height of the cone.
Volume of a cone \(=\) \(\times\) Volume of a cylinder
Volume of a cone \(=\) cu. units
Example:
If the base radius is \(5 \ cm\) and the slant height is \(13 \ cm\), find the volume of the cone.
\([\)Use \(\pi = 3.14]\)
Solution:
Radius of the base \(=\) \(5 \ cm\)
Slant height \(=\) \(13 \ cm\)
Let us first find the height of the cone.
\(l^2\) \(=\) \(r^2 + h^2\)
\(h^2\) \(=\) \(l^2 - r^2\)
\(h^2\) \(=\) \(13^2 - 5^2\)
\(h^2\) \(=\) \(169 - 25\)
\(h^2\) \(=\) \(144\)
\(h\) \(=\) \(12\)
Height of the cone is \(12 \ cm\).
Volume \(=\) cu. units
\(=\)
\(=\) \(314\)
Therefore, the volume of the cone is \(314 \ cm^3\).
Important!
The value of \(\pi\) should be taken as unless its value is shared in the problem.
Register for free to see more content