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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| \(r_s\) | Short radius |
| \(r_l\) | Long radius |
| \(h\) | Cone height |
| \(L\) | Lateral height |
| \(A_T\) | Top surface |
| \(A_B\) | Base surface |
| \(S_L\) | Lateral surface |
| \(S\) | Total surface |
| \(V\) | Volume |
| Top surface | \(\displaystyle A_T= rs^2·π\) |
| Base surface | \(\displaystyle A_B= rl^2·π\) |
| Lateral length | \(\displaystyle L=\sqrt{(r_l-r_s)^2 + h^2}\) |
| Lateral surface | \(\displaystyle S_L=π ·(r_l+r_s)·\sqrt{(r_l-r_s)^2+h^2}\) \(\displaystyle =π ·(r_l+r_s)·L\) |
| Total surface | \(\displaystyle S=S_L+π·(r_l^2+r_s^2)\) |
| Volume | \(\displaystyle V=\frac{1}{3}·π·(r_l^2+(r_l·r_s) +r_s^2)·h\) |
| Large perimeter | \(\displaystyle P_l= 2\cdot π \cdot r_l\) |
| Short perimeter | \(\displaystyle P_s= 2\cdot π \cdot r_s\) |
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