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anonymous
 one year ago
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
 one year ago
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?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443066944419:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 @mathstudent55 @Zale101 @kohai @dan815 @zepdrix

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm totally lost on this one, I keep getting similar problems wrong, the last equaled out to 4000/3 pi in.^3

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Hey if psble could you attach the original diagram

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4I'm finding it a bit hard to relate the word problem to the picture that you have drawn

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the picture i drew is pretty much it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443067700784:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It wants me to find the volume, I even tried the V=4/3*3.14*r^3

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Think of the given diagram as a small spherical fish tank, 10cm represents the center of top surface to the center of fish tank : dw:1443067804228:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4They gave you surface area of the top surface : \(576\pi\) Say, the radius of top surface is \(r\) : dw:1443067992574:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4\[\pi r^2 = 576\pi\] solve \(r\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Yes, the radius of top circular disk surface is \(24\) : dw:1443068220493:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Next, see if you can find the radius of sphere : dw:1443068276532:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would I substitute 24 as r into the same equation?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4do you see a right triangle with sides \(10, 24, R\) ? you need to setup an equation and find the value of \(R\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0which equation would I use? A=1/2 bh? sorry....

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4when you see a right triangle, you should think of "pythagoras theorem"

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4yes take square root

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 What do I do next?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4so \(26\) is the radius of sphere

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4use volume formula of sphere and finish it off

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I get a huge number 73584.85
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