Calculations in a right elliptic cone. This is a cone with an ellipse as base. Enter the two semi axes lengths and the height and choose the number of decimal places. Then click Calculate. The lateral surface is calculated with an integral and can only be estimated here, the estimation is slightly lower than the real value.
Formulas:
2π
L = 1/2 *
∫
√ a²b² + h²[a²*sin²(t)+b²*cos²(t)] dt
0
L > 1/2 * π * ( a * √ b² + h² + b * √ a² + h² )
A = M + π * a * b
V = π / 3 * h * a * b
Kreiszahl pi:
π = 3.141592653589793...
Semi axes and height have the same unit (e.g. meter), the surfaces have this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). The lateral surface is the curved part of the surface area.