“Hemisphere”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hemisphere

释义

Hemisphere

Half of a Sphere cut by a Plane passing through its Center. A hemisphere of Radius can be given by the usual Spherical Coordinates

where

and

. All Cross-Sections passing through the

-axis areSemicircles.

The Volume of the hemisphere is

(4)

The weighted mean of

over the hemisphere is

(5)

The Centroid is then given by

(6)

(Beyer 1987).

See also Semicircle, Sphere

References

Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 133, 1987.

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