SOLUTION: a solid metalic sphere witha radius of 7cm is cut into 4 similar parts of equal volume.what is the total surface area of each part

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Question 629535: a solid metalic sphere witha radius of 7cm is cut into 4 similar parts of equal volume.what is the total surface area of each part
Found 2 solutions by vleith, Alan3354:
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
I'll give you some hints.
Find the surface area of the sphere using the radius given.
Now think about what the shape of the resulting four parts will look like. If you took a ball and cut it in half, you would now have two parts each with a total surface area of 1/2 the sphere (the dome) PLUS the area of the base (a circle).
Now cut each half in half again.
Each piece will now be a quarter wedge shape with a curved portion (the area of which is 1/4 of the original sphere) PLUS two flat faces (each face a semi circle with the given radius.
So, what is the total surface area?
1/4 of original sphere surface area PLUS two semi circle areas with the given radius. That ends up being 1/4 sphere PLUS the area of a circle with the given radius.
You can do the math :)

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
a solid metalic sphere witha radius of 7cm is cut into 4 similar parts of equal volume.what is the total surface area of each part
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Not enough info.
A simple solution is possible if the cuts are made thru the center of the sphere. Maybe that's what you mean by "similar."
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If the cuts are by parallel planes, it's more complex but possible.
If the cuts are randomly located, their orientation has to be given.