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CalculusEasyApplications of Integration

Applications of Integration · Easy problem

A thin vase is formed by revolving y=xy=\sqrt{x} about the xx-axis for 0≤x≤40\le x\le4 (cm), using disks. A hemispherical bowl of radius 33 cm is formed by revolving y=9−x2y=\sqrt{9-x^2} about the xx-axis for 0≤x≤30\le x\le3. By how many cm3^3 does the bowl's volume exceed the vase's volume?