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A solid lies between planes perpendicular to the y-axis at y = 0 and y = 2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x = √5 y^2. Find the volume of the solid. Set up the integral that gives the volume of the solid. (Type exact answers, using π as needed.) The volume of the solid is cubic units. (Type an exact answer, using π as needed.)

A solid lies between planes perpendicular to the y-axis at y = 0 and y = 2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x = √5 y^2. Find the volume of the solid. Set up the integral that gives the volume of the solid. (Type exact answers, using π as needed.) The volume of the solid is cubic units. (Type an exact answer, using π as needed.)

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A solid lies between planes perpendicular to the y-axis at y = 0 and y = 2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x = √5 y^2. Find the volume of the solid. Set up the integral that gives the volume of the solid. (Type exact answers, using π as needed.) The volume of the solid is cubic units. (Type an exact answer, using π as needed.)

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