SOLUTION: A cube and a sphere each encloses 1000cm cubed. Which shape is taller, and by how much? What formula needs to be used in this problem? B(h)=1000cm cubed. To find the Base of th

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Question 627775: A cube and a sphere each encloses 1000cm cubed. Which shape is taller, and by how much?
What formula needs to be used in this problem? B(h)=1000cm cubed. To find the Base of the sphere B=pie(radius)squared. But the only value given is the volume. How to solve?

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A cube and a sphere each encloses 1000cm cubed. Which shape is taller, and by how much?
What formula needs to be used in this problem? B(h)=1000cm cubed. To find the Base of the sphere B=pie(radius)squared. But the only value given is the volume. How to solve?
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There's no base of a sphere.
For a sphere:
Vol+=+4pi%2Ar%5E3%2F3
1000+=+4pi%2Ar%5E3%2F3
r%5E3+=+3000%2F%284pi%29
r =~ 6.2 cm
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For a cube:
Vol+=+s%5E3
s = 10 cm