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4. (5 points) A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 Lit/min. Find the rate

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4. (5 points) A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 Lit/min. Find the rate at which the water is rising in the basin when it is half full. Hint: The volume of the portion of a sphere with radius r from the bottom to a height h is given by V = T rh2 -. 1 Th 3

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