Question 1026546
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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/3*R^2*h}}},

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


See <A HREF=http://mathforum.org/dr.math/faq/formulas/faq.sphere.html>http://mathforum.org/dr.math/faq/formulas/faq.sphere.html</A>.


In terms of given data, h = {{{sqrt(18^2 - 6^2)}}} = {{{sqrt((18+6)*(18-6))}}} = {{{sqrt(24*12)}}} = {{{12*sqrt(2)}}}.


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