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Melody has a mug with a diameter of 3.5 inches and a height of 4 inches. It is filled to the top with water. She wants to pour it into a different mug with a diameter of 3 inches. What is the minimum height the different mug must be so it does not overflow? Round to the nearest tenth.

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ronhagrid310

Answer:

Height of mug 2 = Volume of mug 2/Base of mug 2

                           = Volume of mug 1/Base of mug 2

                           = [4*pi*(3.5/2)^2]/[pi*(3/2)^2] = 5.44 in

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