A solid lies between planes perpendicular to the y-axis at yequals0 and yequals2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x equals StartRoot 15 EndRoot y squared. Find the volume of the solid.

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,