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8 June, 02:12

The formula for the volume of a cone is V = 1/3 pi*r^2h. If the radius (r) is doubled and

the height (h) is divided by 3, what will be the ratio of the new volume to the original

volume?

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Answers (1)
  1. 8 June, 02:37
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    V = 1/3 * h * r^3 pi

    V ' = 1/3 * h/3 * (2r) ^3 pi = h/9 * 8r^3 * pi

    V ' / V = (h/9 * 8r^3 * pi) : (1/3 * h * r^3 pi) = (8 * 3) / 9 = 8 / 3
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