math demions around x axis

Question

a figure is located at (2,0), (2,2), (6,-2), and (6,0) on a coordinate plane. What kind of three d shape would be created if the figure was rotated around the x-axis? provide an explanation and proof of your answer to receive full credit. include the dimensions of the 3-d shape in your explanation

Answer 1

(2,0), (2,2), (6,-2) and (6,0 are vertices of a parallelogram

rotate it around the x axis and the 3D figure is 2 overlapping cones

on their sides,

each with base's circular radius = 2, height =2

each summed together with total volume = 20pi/3 cubic units after subtracting the overlap