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Water flows into a hemispherical tank of radius 10feet (flat side up). At any instant,...

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Water flows into a hemispherical tank of radius 10feet (flat side up). At any instant, let h denote thedepth of the water, measured from the bottom, rthe radius of the surface of the water, and V thevolume of the water is the tank. Compute dv/dh atthe instant when h=5 feet. If the water flows in ata constant rate of 5?3 cubic feet per second,compute dr/dt, the rate at which r is changing, atthe instant t when h = 5 feet.

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