a cube is inscribed in a sphere with diameter 9in. what is the volume of that cube?
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The cube's diagonal is the sphere's diameter. So you need to know this formula for a cube:
Diagonal = sqrt(3) * Side length
Then
Volume = (Side length)^3
I make that
Volume = (9 / sqrt(3))^3 = 140.296...
Diagonal = sqrt(3) * Side length
Then
Volume = (Side length)^3
I make that
Volume = (9 / sqrt(3))^3 = 140.296...