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A Computer-Designed Abstract Glass Sculpture Is in the Shape of the Solid

Question 82

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A computer-designed abstract glass sculpture is in the shape of the solid region under the graph of f(x,y)=x2yf ( x , y ) = x ^ { 2 } y above the semi-circular region in the xy-plane bounded by the x-axis and y=4x2y = \sqrt { 4 - x ^ { 2 } } . If all measurements are in feet, what volume of glass will be needed for the sculpture?

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