SOLUTION: A sample of an alloy is in the shape of a solid sphere with a radius of 6.4cm. If this sphere is melted down and then cast into a cube, what is the length of an edge of the cube?

Question 363515: A sample of an alloy is in the shape of a solid sphere with a radius of 6.4cm. If this sphere is melted down and then cast into a cube, what is the length of an edge of the cube?
Found 2 solutions by Fombitz, checkley77:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The volume of a sphere is,

The volume of a cube is,

The two volumes are equal.

or approximately,
cm
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
V=(4/3)PIR^3
V=4/3*3.14*6.4^3
V=4.187*262.144
V=1,097.5 ANS FOR THE VOLUME OF THE SPHERE.
V=S^3 FOR THE CUBE.
1,1097.5=S^3
S=CUBERT1,097.6
S=10.315 cm. is the ans. for the length of the sides of the cube with a volume of 1,097.5.

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