A child loves to watch as you fill a transparent plastic bottle with shampoo. Every horizontal cross-section is a circle, but the diameters of the circles have different values, so that the bottle is much wider in some places than others. You pour in bright green shampoo with constant volume flow rate 16.5 cm3/s. At what rate is its level in the bottle rising
(a) At a point where the diameter of the bottle is 6.30 cm and
(b) At a point where the diameter is 1.35 cm?

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