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geometry: the area of a flat figure | the area of a solid | the volume of the solid


The volume of the sector of a sphere

Definition:

A sector of a sphere is a part of a sphere that is bounded by a curve surface of the spherical segment and conical surface, which serves as the base of the segment, and the apex – center of the sphere.

The volume of the sector of a sphere is equivalent to the volume of the pyramid, the base of which has the same surface as the cutout part from the sphere’s surface, and the height is equal to the radius of the sphere.

Computing relationship:

where:

r — the radius of sphere sector;

h — the height of a sphere sector.

Calculator: the volume of the sector of a sphere


For separation of number integers and decimals, use the symbol – point [.]

the radius of sphere sector — r

the height of a sphere sector — h

 


the volume of the sector of a sphere =

 

 

context information: contemporary and archaic unit of measurement of area