Water is poured into the bucket below at a volume rate of 10 cm³/s. The surface area of the bucket's bottom, An, is given as 10 cm?, What is the rate of change for z with respect to time at h=12 cm? The volume of the bucket can be found by integrating: V = |(Ao+ 42) dz 12 h Ao Fignre 1: Half cone

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