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Herb knows that the volume of a cone is one third that of a cylinder with the same base and height. He reasons that a cone with the same height as a given cylinder but 3 times the radius should therefore have the same volume as the cylinder, since 1.3*3=1. Is Herb correct? Explain

Sagot :

The reasoning behind herb's answer is correct. Since the volume of a cone is 1/3 that of a cylinder, a cone that is the same height of said cylinder, but has a radius three times that of the cylinder should be the same volume of the cylinder. Howver 1.3 times 3 does not equal 1
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