Calculations in a cylindrical wedge. A cylindrical wedge is a cylinder, which is inclined cropped in a way that it is cut through the base. Otherwise it is a cut cylinder. Enter radius of the cylinder, height and angle and choose the number of decimal places. Then click Calculate. Angles are calculated and displayed in degrees, here you can convert angle units.
The angle Φ must be in the interval ]0°; 180°]. At 180°, the cut touches the base without hurting it. At 90°, the base gets bisected.

Formulas:
Φ ≥ 90°: l = r + √ r² - r² * sin²(Φ)
Φ < 90°: l = r - √ r² - r² * sin²(Φ)
L = { 2 * h * r * [ sin(Φ) - Φ * cos(Φ) ] } / [ 1 - cos(Φ) ]
V = h * r² * [ 3 * sin(Φ) - 3 * Φ * cos(Φ) - sin³ (Φ) ] / { 3 * [ 1 - cos(Φ) ] }

Radius, length and height have the same unit (e.g. meter), the lateral surface has 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. The lower plane is a circular segment with Θ = 2 * (180° - Φ), for the calculation see there. The upper plane is an elliptic segment.