In geometry, a spherical sector is a portion of a sphere defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap.

Radius of sphere: R

Radius of base of spherical sector: r

Height: h

Total surface area: S

Volume: V

- $S=πR(2h+r)$
- $V=2/3πR^2h$

*The formulas are correct for both open and closed spherical sector.*

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