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Mathematics 19 Online
OpenStudy (anonymous):

A plane intersects a sphere to form a circle as shown in the figure. The distance from the center of the circle to the center of the sphere is 12in. If the area of the circle formed by the intersection is 256 pi in. squared, what is the volume of the​ sphere?

OpenStudy (anonymous):

|dw:1443061042105:dw|

OpenStudy (anonymous):

@phi

OpenStudy (anonymous):

@zzr0ck3r

OpenStudy (anonymous):

V=4/3*pie*r^3

OpenStudy (anonymous):

V=4/3*3.14*6^3 ?

OpenStudy (anonymous):

I would think to use the 12 V=4/3*3.14*12^3

OpenStudy (anonymous):

oops sorry I was looking at another problem

OpenStudy (anonymous):

ok it would equal 7234.56 all together?

OpenStudy (anonymous):

I came up with 4069.44

OpenStudy (anonymous):

12^3=1728 1728*3.14=5425.95 5425.95*0.75=4069.44

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