In geometry, a **spherical cap**, spherical dome, or spherical segment of one base 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.

Radius of sphere: R

Radius of base: r

Height: h

Area of plane face: S

_{B}

Area of spherical cap: S

_{C}

Total surface area: S

Volume: V

- $R={r^2+h^2}/{2h}$
- $S_B=πr^2$
- $S_C=π(h^2+r^2)$
- $S=S_B+S_C=π(h^2+2r^2)=π(2Rh+r^2)$
- $V=π/6h^2(3R-h)=π/6h(3r^2+h^2)$

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