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14 June, 21:22

The radius of a right circular cylinder is decreasing at a rate of 2 inches per minute while the height is increasing at a rate of 8 inches per minute. determine the rate of change of the volume when r = 5 and h = 7.

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  1. 14 June, 21:28
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    V (t) = πr^2h

    V' (t) = π (2rr'h + r^2h')

    V' (t) = π (2 (5) (-2) (7) + 5^2 (8)

    V' (t) = π (-140 + 200)

    V' (t) = 60π in^3
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