(06.04 HC) A figure is located at (2, 0), (2, −2), and (6, 0) on a coordinate plane. What kind of 3-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.

Right cone

Step-by-step explanation:

The figure plotted by the three points.

If rotated around the x- axis, it will create a cone, since it will be rotated around its height, its catet AC.

Also, one point C on the the right will be rotated , with a catet AB being rotated on the left.

Since the catets AC and AB of the triangle ABC are perpendicular, the rotation about the x-axis will create specifically a right cone.

step-by-step explanation: