You get a bonus - 1 coin for daily activity. Now you have 1 coin

Volume of the ball sector

Lecture



A spherical sector is a body, which is obtained from a spherical segment and a cone as follows. If the spherical segment is smaller than the hemisphere, then the spherical segment is complemented by a cone whose vertex is at the center of the sphere and the base is the base of the segment. If a segment is larger than a hemisphere, then the specified cone is removed from it. The volume of the ball sector is obtained by adding or subtracting the volumes of the corresponding segment and cone. For the volume of the ball sector, the following formula is obtained:

  Volume of the ball sector

where R is the radius of the ball, and H is the height of the corresponding ball segment ..

  Volume of the ball sector

Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Stereometry

Terms: Stereometry