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4 June, 12:51

The diameter and height of a cylinder are equivalent to the edge lengths of a cube. Which figure has a greater volume?

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  1. 4 June, 16:34
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    A cube has a greater volume.

    I replaced the diameter and height in their equations, so we could compare.

    I used 10.

    The formula for cylinder volume is - (h is the Height, radius is half the diameter so it's 10/2=5)

    π * r^2*h = V

    π * 5^2·10 ≈ 785.39816

    The formula for a cubes volume is: (where x is a side length)

    x^3

    = 10^3

    = 1000
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