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How does the volume of the cube compare to the volume of the ball?
Wiki User
∙ 11y ago
The volume of a cube is L3. The volume of a sphere is 4/3 π r3 . If L=2r, Vcube=8r3. Comparing the volume of the cube with a side 2r and a sphere with a diameter of 2r where the r's are equal gives us:
Vcube/Vsphere= (8r3)/(4/3 π r3 ) or (8x3)/(πx4)
As π roughly equals 3 the equation simplifies to:
Vcube/Vsphere=2
or a cube with its side equal to the diameter of a sphere has a volume approximately twice that of the sphere.
Wiki User
∙ 11y ago
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