Rounded Cone Calculator

This function calculates various properties of a rounded cone. To perform the calculation, enter the radii of the base and the spherical cap and the height of the truncated cone. Then click on the 'Calculate' button.

Formeln zum abgerundeter Kegel

Cone base angle

\(\displaystyle α = arccos\left( \frac{R - r}{\sqrt{ h^2 + ( R - r )^2}} \right) \)

Height spherical cap

\(\displaystyle i = \sqrt{\frac{ r^2 }{\frac{ 2 }{ 1 - cos(α) } - 1 }} \)

Surface Area

\(\displaystyle S = (R + r) · π · \sqrt{(R - r)^2 + j^2} + π· R^2 + π · (r^2 + i^2) \)

Volume

\(\displaystyle V=\frac{π}{3} · j · \left( R^2 + R· r + r^2 \right) + i^2 * \left(\frac{ 3 · ( r^2 + i^2 ) }{ 2· i} - i \right) \)