You are using the new UI (Beta).Return to the original UI

This page has been automatically translated by machine translation. Please note that translations may not be entirely accurate.

keisanHigh-precision calculations for everyday life and work
Login|Register

Volume of a Truncated Cone

TOP/Collection of Mathematical Formulas/Volume and Surface Area
Manage Bookmarks
Calculate the volume, cross-sectional area, and base area of a right circular cone cut diagonally.
Height of the cone H
Radius of the cone’s base R
Radius r
Angle of cut θ
Degrees
Volume V 
Cross-sectional area Su 
Base Area SB 
\(\normalsize Truncated\ cone\ not\ a\ frustum\\ (1)\hspace{10px} k={\large\frac{H}{R}},\ m=\tan{\theta}\\ \hspace{25px}R:r=H:h+rm\hspace{10px}\rightarrow\ h=r*(k-m)\\ (2)\ elliptical\ radius :\\ \hspace{95px} a={\large\frac{hk}{k^2-m^2}}\sec\theta\\ \hspace{95px} b={\large\frac{h}{\sqrt{k^2-m^2}}}\\ (3)\ area:\hspace{30px} S_B=\pi R^2\\ \hspace{95px} S_u=\pi ab\\ (4)\ volume:\hspace{10px} V_{cap}={\large\frac{\pi k}{3}}\left\{\large\frac{h}{\sqrt{k^2-m^2}}\right\}^3\\ \hspace{95px} V={\large\frac{\pi}{3}}R^2H-V_{cap}\\ \)

No customer feedback for this calculation yet.