Volume between x^2+y^2=9 and y=(4-x^2)^(½) Rotated about the x-axis

In an xy-plane a volume is represented by perpendicular cirles Cross seciton centered at y=9 Use y=(x-1)^2 as an edge on [0,2] Use y=(x+1)^2 as an edge on [-1,0]

Cross sections are perpendicular to page Only cross sections with constant y should be used and x values less than 3 All values less than or equal to |ln(x)| Cross sections are triangles 30 deg into the positive z axis

Hexagon Cross section where one point is on the line and the distance furthest point to point accross the hexagon is 6 The line that the points follow is on x^2+y^2=16 This volume only exists x=[2(2)^(½),4] in the first quadrant