Proof for volume of cone is equal to 1 3 volume of cylinder
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The volume of the cone is 1/3 the volume of the cylinder. ... Again, the formula for a cone is 1/3 pi radius square times height, and the cylinder is pi times radius square times height. We proved that it takes three cones to fill up 1 cylinder.
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We observe that the volume of a cylinder is three times the volume of a cone of the same height h and the same base radius r. Since the volume of a cylinder with height h and base radius r is given by πr²h, therefore the volume of a cone with height h and base radius r will be 1/3 πr²h.
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