3. (13 points) A water trough is 12 meters long with a semi-circular cross section of radius 0.8 meters. The trough and its cross section are shown
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3. (13 points) A water trough is 12 meters long with a semi-circular cross section of radius 0.8meters. The trough and its cross section are shown below. The pictures are not to scale. Thetrough is being filled at a. rate of 0.3 cubic meters per minute. At what rate is the angle 9 shownchanging when it is 2?“ radians? Give an exact answer with units. (Hint: Start by calculating the shaded area in the cross section.) mum
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