As , the numberof facesincreasesto an infinitenumber, the figureapproachesbecominga sphere.
So a spherecan be thoughtof as a polyhedronwith an infinitenumberfaces.Eachof thosefacesis the
baseof a pyramidwhosevertexis locatedat , the centerof the sphere.This is shownbelow.
Eachof the pyramidsthat makeup the spherewouldbe congruentto the pyramidshown.The volumeof
this pyramidis givenby:
To find the volumeof the sphere,you simplyneedto add up the volumesof an infinitenumberof infinitely
smallpyramids.