Question: A cone-shaped paper drinking cup (like the kind supplied at water fountains) has a radius R and a height H. If the water height in

A cone-shaped paper drinking cup (like the kind supplied at water fountains) has a radius R and a height H. If the water height in the cup is h, the water volume is given by

V = h3

Suppose that the cup’s dimensions are R = 1.5 in. and H = 4 in.

a. If the flow rate from the fountain into the cup is 2 in. 3/s, how long will it take to fill the cup to the brim?

b. If the flow rate from the fountain into the cup is given by 2(1 – e^–2t) in.3/s, how long will it take to fill the cup to the brim?

V = h3

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a The volume of the coneshaped cup is given by the formula v 13RH2h3 Substituting R 15 in and H 4 in ... View full answer

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