Question

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.


50 POINTS. PLEASE HELP, and explain if you can. Please, do not use this for points or I will report you

Answer 1

When the shape is rotated around the x-axis, a 3-D shape would be formed

The 3-D shape is a cone with radius 2 and height 4

How to determine the 3-D shape?

The coordinates of the figure are given as:

(2, 0), (2, −2), and (6, 0)

The above coordinates represent a triangle that has one of its sides on the x-axis.

So, when the shape is rotated across the axis, the other two lines would whirl around the side on the x-axis.

This movement would form a cone with the following dimensions

• Height = Distance (2, 0) and (6, 0) i.e. 4 units
• Radius = Distance (2, 0) and (2, −2) i.e. 2 units

Hence, the 3-D shape is a cone with radius 2 and height 4

Read more about three dimensional shapes at:

https://brainly.com/question/12280037