A cone-shaped paper drinking cup (like the kind used at
Chapter , Problem 7.64(choose chapter or problem)
A cone-shaped paper drinking cup (like the kind used 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
\(V=\frac{1}{3} \pi\left(\frac{R}{H}\right)^{2} h^{3}\)
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 \(2 \text { in. }^{3} / \mathrm{sec}\), use MATLAB to determine 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 \(2\left(1-e^{-2 t}\right) \text { in. }{ }^{3} / \mathrm{sec}\), use MATLAB to determine how long will it take to fill the cup to the brim.
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