Spherical segment correlation geometric parameter online calculator
App description
Calculation formula for geometric parameters related to ball missing:
In the figure below, the symbols are as follows:
r = AB; a = CD; h = ED
\(V= \frac {πh}{6} (3a^2+h^2)\)
\(V= \frac {πh^2}{3} (3r-h)\)
\(F=π(2rh+a^2)\)
\(F=π(h^2+2a^2)\)
\(a^2=h(2r-h)\)
\(d^2=[2√[h(2r-h)]]^2\)
\(C=2πrh=π(a^2+h^2)\)
In the formula:
- r - radius of the ball
- h - the height of the ball is missing
- a - flat cut radius
- d - flat cut diameter
Usage example
Input data:
H—High ball segment: 4
R—Radius of segment: 7
Click "Calculate" to output data
Tangent circle diameter square: 160
Spherical surface area: 75.39
Surface area: 175.92
Spherical volume: 284.83
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