SOLUTION: The radius of a sphere is 21 cm. Find the volume of a spherical wedge whose lune base angle is 90 degree.

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Question 1009810: The radius of a sphere is 21 cm. Find the volume of a spherical wedge whose lune base angle is 90 degree.
Answer by ikleyn(52778) About Me  (Show Source):
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The radius of a sphere is 21 cm. Find the volume of a spherical wedge whose lune base angle is 90 degree.
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    A spherical wedge is a solid formed by revolving a semi-circle about its diameter by less than 360°. 

    Spherical Lune is the curve surface of the wedge, it is a surface formed by revolving a semi-circular arc 
    about its diameter by less than 360°. 

    See more at: http://www.mathalino.com/reviewer/solid-mensuration-solid-geometry/spherical-wedge-and-spherical-lune.


The volume of this "solid body" is one fourth of the volume of the sphere of the radius 21 cm:

V = 1%2F4.%284%2F3%29%2Api%2AR%5E3 = 1%2F3.3.14%2A21%5E3.