Question 1106218: A sphere passes through the eight corners of a cube of side 10cm . Find the volume of the sphere Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A sphere passes through the eight corners of a cube of side 10cm . Find the volume of the sphere
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Step 1, find the radius of the sphere.
Step 2, find the volume.
In this case the center of the sphere coincides with the central point of the cube.
Therefore, the diameter of the sphere is exactly equal to the longest 3D diagonal of the cube,
which has the length = = cm.
Therefore, the radius of the sphere is half of it, i.e. cm.
Now find the volume of the sphere on your own.
