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16 August, 14:01

The volume of a cylinder is found using the formula V=piR^2h, where R is the radius of the base and h is the height. The volume of a rectangular prism of the same width (2r) and height h, as the cylinder, is found by multiplying the area of the base (2r*2r) by the height. What is the ratio of the volume of the cylinder to the volume of the prism?

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  1. 16 August, 15:27
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    Pi/4 is the answer, can i get brainiest?
  2. 16 August, 17:35
    0
    The volume of a cylinder is

    Vc=pi * r^2 * h

    The volume of a rectangular prism is

    Vp = 4 * r^2 * h

    The ratio of the volume of the cylinder to the volume of the prism

    Vc / Vp = (pi * r^2 * h) / (4 * r^2 * h) = pi / 4 = 0.25 pi = 0.785
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