VOLUME OF A SOLID-please make sure that the formula is 100a% accurate and the integration is accurate, as well.See full problem below.

Find the volume of the solid whose base is a triangle with vertices , and (3,0). Slices perpendicular to the x-axis are semicircles. . A cross-section of a solid is defined as the intersection of a plane with the solid. . The problem-solving strategy for finding volumes by slicing is comprised of three steps, 1. Examine the solid and determine the shape of a cross-section of the solid. Draw a detailed picture. 2. Determine a formula for the area of a cross section. Use graph and algebra to prove. 3. Integrate the area formula over the appropriate interval to get the volume