(a) As the milk fills the bowl, the milk level reaches a point where the diameter of the bowl is  d1 = 1.45 cm.  What is the rate (in cm/s) at which the milk level rises at this diameter?   (b) As the milk continues to fill the bowl, the milk level reaches a point where the diameter of the bowl is  d2 = 5.30 cm.  What is the rate (in cm/s) at which the milk level rises at this diameter?

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Milk is poured into a bowl at a constant rate of 17.0 cm3/s. The bowl has a circular cross section, but does not have a uniform diameter. (That is, different horizontal cross sections taken at different heights of the bowl have different diameters.)

(a)
As the milk fills the bowl, the milk level reaches a point where the diameter of the bowl is 
d1 = 1.45 cm.
 What is the rate (in cm/s) at which the milk level rises at this diameter?
 
(b)
As the milk continues to fill the bowl, the milk level reaches a point where the diameter of the bowl is 
d2 = 5.30 cm.
 What is the rate (in cm/s) at which the milk level rises at this diameter?
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