Description and formulas for the calculation of Cones
A cone is a solid with a circular base and one vertex
Cones have two faces (the base and the curved surface), one edge that connects the base to the curved surface, and one vertex (called the apex)
If the apex over the center of the base surface, we call it right cone. If the apex deviates from the center of the base surface, this is called a oblique cone
The following formulas refer to the calculation of a apex cone
\(\displaystyle r=\sqrt{\frac{A}{ π}}\)
\(\displaystyle d=\sqrt{\frac{4·A}{π}}\)
\(\displaystyle d=2· r\)
\(\displaystyle h=\sqrt{L^2-r^2}\)
\(\displaystyle h=\frac{3·V}{A}\)
\(\displaystyle L=\sqrt{h^2+r^2}\)
\(\displaystyle S_I=\frac{d·π·L}{2}\)
\(\displaystyle S_I=\frac{P· L}{2}\)
\(\displaystyle S=S_I+A\)
\(\displaystyle V=\frac{A·h}{3}\)
\(\displaystyle V=\frac{r^2· h}{3}\)