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19 September, 08:55

CH===The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 40 mm? Evaluate your answer numerically. (Round the answer to the nearest whole number.) '

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  1. 19 September, 09:17
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    15086 mm³/s

    Explanation:

    Given

    dr / dt = 3 mm/s

    v = 4/3 π r³

    dv / dt = (4 / 3) π 3r² dr/dt

    = 4πr² x 3

    = 12πr²

    = 12 x 22/7 x 20²

    = 15086 mm³/s
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