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18 August, 00:49

A cylinder's radius is reduced to 2/5 its original size and the height is quadrupled. How has the volume of the cylinder changed?

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  1. 18 August, 01:11
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    The volume of the cylinder:

    V = r² π h

    A radius is reduced to 2/5 its original size and the height is quadrupled.

    V (new) = (2/5 r) ² π · 4 h = 4/25 r² π · 4 h = 16/25 r² π h = 16/25 V

    Answer:

    The new volume has 16/25 the volume of the original cylinder.
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