Truncated Cone Calculator
Calculator and formulas for calculating a truncated cone
This function calculates various properties of a truncated cone. To perform the calculation, enter the two radii and the height of the truncated cone. Then click on the 'Calculate' button.
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Formulas for the truncated cone
Top surface (\(\small{A_T}\))
\(\displaystyle A_T= r^2·π\)
Base surface (\(\small{A_B}\))
\(\displaystyle A_B= R^2·π\)
Total surface (\(\small{S}\))
\(\displaystyle S=S_L+π·(R^2+r^2)\)
Volume (\(\small{V}\))
\(\displaystyle V=\frac{1}{3}·π·(R^2+(R·r) +r^2)·h\)
Large perimeter(\(\small{P_L}\))
\(\displaystyle P_L= 2\cdot π \cdot R\)
Short perimeter (\(\small{P_S}\))
\(\displaystyle P_S= 2\cdot π \cdot r\)
Lateral length (\(\small{L}\))
\(\displaystyle L=\sqrt{(R-r)^2 + h^2}\)
Lateral surface (\(\small{S_L}\))
\(\displaystyle S_L=π ·(R+r)·\sqrt{(R-r)^2+h^2}\) \(\displaystyle \ \ \ =π ·(R+r)·L\)
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