Question

A figure is placed on points (2,0) (2,-3) and (5,0) on a coordinate plane. What kind of 3D shape would be made if the figure were to be rotated around the x-axis? Include the dimensions, height and diameter, of the new 3D shape.

Answer 1

The right triangle rotated across the x-axis forms a cone with radius = 3, height = 3 and diameter = 6

How to determine the dimension 3D shape?

The coordinate of the points are: (2,0) (2,-3) and (5,0)

The above points form a right triangle, and one of its legs is on the x-axis

When the right triangle is rotated across the x-axis, it forms a cone with the following dimensions

Radius = 3

Height = 3

The radius and the height are calculated from the distance between the coordinates

Hence, the right triangle rotated across the x-axis forms a cone with radius = 3, height = 3 and diameter = 6

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