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17 April, 00:45

The volume of a cylinder of radius r is 1/4 of the volume of a rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is r in terms of x?

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  1. 17 April, 01:08
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    The box has volume x^2h.

    The cylinder has volume x^2h/4.

    V = πr^2h = x^2h/4

    πr^2 = x^2/4

    r^2 = x^2 / (4π)

    r = x / (2√π)

    b
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