Question: Problem 2: [8 pts] The region R in the xy-plane is bounded by y = x^(2 ) and y = 9. The solid S1 has

Problem 2: [8 pts] The region R in the xy-plane is bounded by y = x^(2 ) and y = 9.

The solid S1 has R as its base. Cross sections taken through the solid perpendicular to the y-axis are quartercircles.

The solid S2 also has R as its base. Cross sections taken through the solid perpendicular to the y-axis are semicircles.

Determine which solid has a greater volume and justify your response.

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