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Total volume of the two spherical caps of two intersecting spheres

Description

A spherical cap or spherical dome is a portion of a sphere cut off by a plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere. The total volume of the two spherical caps of two intersecting spheres of differend radii can be calculated by the radii of the bases of the caps and their heights.

Related formulas

Variables

VThe total volume (m3)
πpi
h1The height of the one of the caps (m)
a1The radius of the base of the one of the caps (m)
h2The height of the other cap (m)
a2The radius of the base of the other cap (m)