A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of
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A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/min. Find the rate at which the water is rising in the basin when it is half full. [Use the following facts: 1 L is 1000 cm3. The volume of the portion of a sphere with radius r from the bottom to a height h is V = (rh2 - 1/3 h3), as we will show in Chapter 6.]
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The volume of a hemisphere is 23r 3 so the vol...View the full answer
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