The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.
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Let the radius of the sphere and cylinder be r.
Given, height of the cylinder = diamter of the bases
⇒ h=2r
According to the given condition,
Volume of sphere =23× volume of cylinder
⇒ 43πr3 =23×πr2×2r
⇒ 43πr3 =43πr3
Hence, the volume of a sphere is equal to two-third of the volume of a cylinder.
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