SOLUTION: a metal sphere is melted and recast into a hollow spherical shell whose outer radius is 277 cm. the radius of the hollow interior of the shell is equal to the radius of the origina

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Question 1085848: a metal sphere is melted and recast into a hollow spherical shell whose outer radius is 277 cm. the radius of the hollow interior of the shell is equal to the radius of the original sphere. find the original sphere
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius of original sphere.

%284%2F3%29pi%2Ar%5E3=%284%2F3%29pi%2A277%5E3-%284%2F3%29pi%2Ar%5E3

r%5E3=277%5E3-r%5E3
2r%5E3=277%5E3
r%5E3=%281%2F2%29277%5E3
highlight_green%28r=277%2Froot%283%2C2%29%29

r=219.9