SOLUTION: Find the volume of the spherical sector whose base has an altitude of 6 cm drawn on a sphere whose radius is 18 cm.

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Question 1026546: Find the volume of the spherical sector whose base has an altitude of 6 cm drawn on a sphere whose radius is 18 cm.
Answer by ikleyn(52790) About Me  (Show Source):
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Find the volume of the spherical sector whose base has an altitude of 6 cm drawn on a sphere whose radius is 18 cm.
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Volume of the spherical sector is equal to V = 2pi%2F3%2AR%5E2%2Ah,

where R is the sphere radius, and h is the sector's "height".


See http://mathforum.org/dr.math/faq/formulas/faq.sphere.html.


In terms of given data, h = sqrt%2818%5E2+-+6%5E2%29 = sqrt%28%2818%2B6%29%2A%2818-6%29%29 = sqrt%2824%2A12%29 = 12%2Asqrt%282%29.


Having this, you can complete calculations and solve your problem.