parts of a ball
Let us consider in a ball of radius and the sphere bounding the ball.
The distance of the two planes intersecting the ball be is called the height.
The volume of the spherical cap is obtained from
and the area of the corresponding spherical calotte and also a spherical zone from
The volume of a spherical segment can be got as the difference of the volumes of two spherical caps.
The volume of a spherical sector may be calculated from
where is the height of the spherical cap of the spherical sector.
|Title||parts of a ball|
|Date of creation||2013-03-22 18:18:36|
|Last modified on||2013-03-22 18:18:36|
|Last modified by||pahio (2872)|
|Synonym||parts of ball|
|Synonym||parts of sphere|