For the positive constant number a, let D be the part surrounded by the curve \sqrt{x}\plus{}\sqrt{y}\equal{}\sqrt{a} and the line x\plus{}y\equal{}a.
(1) Draw the outline of D and find the area.
(2) Find the volume of the solid by rotating D about the line x\plus{}y\equal{}a as the rotation axis. calculusintegrationgeometrygeometric transformationrotationcalculus computations