## PLZ HELP ILL GIVE BRAINLIEST AND CASh A figure is located at (2, 0), (2, −2), (6, −2), and (6, 0) on a coordinate plane. What ki

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PLZ HELP ILL GIVE BRAINLIEST AND CASh

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 of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation. (10 points)

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Mathematics
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2021-07-22T09:34:01+00:00
2021-07-22T09:34:01+00:00 1 Answers
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## Answers ( )

The 2D shape is a rectangle, because there are two sets of both x and y values. Then, if you were to look at it from the z axis (above), it would look like a line. Because this rectangle doesn’t touch the x axis, if you rotated it around, you would make a torus instead of a cylinder. This torus would have a diameter of 12 units – because the farthest point on the x axis is 6 away from 0 – and a height of 2 units – because we aren’t rotating it by the y axis. The hole would have a diameter of 4 units because the closest point on the x axis to 0 is 2.