Cylindrical Wedge calculator and formula

This function calculates the volume, length and surface area of a cylinder wedge. To calculate the cylinder, enter the radius, angle, and height. Then click the 'Calculate' button.

The angle φ must be between 0° and 180°

Cylindrical Wedge Calculator

Input

Radius r

Height h

Angle φ

Decimal places

Resultate

Volume V

Lateral surface L

Wedge length l

Formulas for calculating a cylinder wedge

Wedge length

φ ≥ 90°: \(\displaystyle l = r + \sqrt{r^2 - r^2 \cdot sin^2(φ)} \)

φ < 90°: \(\displaystyle l = r - \sqrt{r^2 - r^2 \cdot sin^2(φ)} \)

Volume

\(\displaystyle V= h \cdot r^2 \cdot \frac{3 \cdot sin(φ) - 3 \cdot φ \cdot cos(φ) - sin^3 (φ)}{3 \cdot (1 - cos(φ))} \)

Lateral surface

\(\displaystyle L = \frac{2 \cdot h \cdot r \cdot (sin(φ) - φ \cdot cos(φ))}{ 1 - cos(φ)} \)

Cylindrical Wedge Calculation

Calculation of a cylinder wedge

Formulas for calculating a cylinder wedge

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