Slice of the ball

The sphere is a geometric body that is the sum of the sphere and the cone of which the circle is defined by the plane defining the sphere and the vertex is in the center of the sphere.

Let a {\displaystyle a} - the radius of the cone base, R {\displaystyle R} - the radius of the ball, and h {\displaystyle h} difference in radius of the ball and center distance from the center, then: V = 2 3 π R 2 h {\displaystyle V={\frac {2}{3}}\pi R^{2}h} S = π R ( 2 h + a ) {\displaystyle S=\pi R(2h+a)\;}

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