?A faucet is filling a hemispherical basin of diameter \(60 \mathrm{~cm}\) with water at
Chapter 3, Problem 38(choose chapter or problem)
A faucet is filling a hemispherical basin of diameter \(60 \mathrm{~cm}\) with water at a rate of \(2 \mathrm{~L} / \mathrm{min}\). Find the rate at which the water is rising in the basin when it is half full. [Use the following facts: \(1 \mathrm{~L}\) is \(1000 \mathrm{~cm}^3\). The volume of the portion of a sphere with radius r from the bottom to a height h is \(V=\pi\left(r h^2-\frac{1}{3} h^3\right)\), as we will show in Chapter 6.]
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