4. (06.04 HC) A figure is located at (2.0), (2,-2). (6,-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
credit. Include the dimensions of the 3-D shape in your explanation. (10 points)
your answer to receive full
Credit

Cylinder with radius of 2 units and height of 6 units

Step-by-step explanation:

The shape constructed from the given points is a rectangle with width of 4 units and height of 2 units (see attached diagram).

The top edge of the rectangle is along the x-axis and the rectangle is in quadrant IV.

If the shape was rotated around the x-axis, it would create a cylinder (led on its side) with a radius of 2 units and a height of 4 units (see second attached image).

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