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9 December, 23:53

Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

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  1. 9 December, 23:59
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    Volume of a can:

    21 = r² π h

    21 = 3² π h

    21 = 9 π h

    h = 21 / 9π = 7 / 3π

    Volume of a cone that fits perfectly inside a can:

    V = 1/3 r² π h = 1/3 · 9 π · 7 / 3π = 7

    Or you can use: V cone = 1/3 V cylinder (with the same basis)

    V cone = 1/3 * 21 = 7
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