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ONE HUNDRED POINTS
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.

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semsee45

Answer:

Cylinder with a radius of 2 units and a height of 4 units

Step-by-step explanation:

The points given form a rectangle with the following dimensions:

  • width = 2 units
  • length = 4 units

The top edge of the rectangle lies on the x-axis.  

If the rectangle is rotated around the x-axis, it creates a cylinder with:

  • radius equal to the width of the rectangle = 2 units
  • height equal to the length of the rectangle = 4 units

**see both attachments for rectangle and cylinder**

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