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 10in. If the area of the circle formed by the intersection is 576 pi inches squared, what is the volume of the sphere?

Question

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 10in. If the area of the circle formed by the intersection is 576 pi inches squared, what is the volume of the​ sphere?

anonymous · Answer

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anonymous · Answer

@ganeshie8 
@mathstudent55 
@Zale101 
@kohai 
@dan815 
@zepdrix

anonymous · Answer

I'm totally lost on this one, I keep getting similar problems wrong, the last equaled out to 4000/3 pi in.^3

ganeshie8 · Answer

Hey if psble could you attach the original diagram

ganeshie8 · Answer

I'm finding it a bit hard to relate the word problem to the picture that you have drawn

anonymous · Answer

the picture i drew is pretty much it.

anonymous · Answer

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ganeshie8 · Answer

Ok got you

anonymous · Answer

It wants me to find the volume, I even tried the V=4/3*3.14*r^3

ganeshie8 · Answer

Think of the given diagram as a small spherical fish tank, 
10cm represents the center of top surface to the center of fish tank :

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