Concern the region bounded by the quarter circle x2 y2 1


Question: Concern the region bounded by the quarter circle x2 + y2 = 1, with x ≥ 0, y ≥ 0. Find the volume of the following solids.

1. The solid whose base is the region and whose crosssections perpendicular to the y-axis are semicircles.

2. The solid whose base is the region and whose crosssection perpendicular to the y-axis is an isosceles right triangle with one leg in the region.

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Mathematics: Concern the region bounded by the quarter circle x2 y2 1
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