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6 January, 23:22

If the radius of a sphere is halved, what happens to the volume of the sphere? Use your algebra skills to develop a formula for the volume of the reduced sphere, V', in terms of V.

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  1. 6 January, 23:28
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    Since V = (4/3) * pi * R^3

    If R is halved, V' will reduce by a ratio of (1/2) ^3 = 1/8

    So V' = (1/8) V
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