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11 September, 21:12

If a length and diameter of a pencil are both multiplied by 10, then the volume is multiplied by?

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  1. 11 September, 22:58
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    1000

    Explanation:

    If we model the pencil as a cylinder:

    V = π r² h

    Or, in terms of diameter:

    V = π/4 d² h

    If we multiply d and h by 10:

    V = π/4 (10 d) ² (10 h)

    V = 1000 (π/4 d² h)

    The volume increases by a factor of 1000.
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