Question

A circle of radius 1 centered at (4, 0) is rotated about the y-axis.

1) Draw a picture of the three-dimensional shape that is produced when the circle is rotated about the y-axis.

2) In two or more complete sentences, describe the three-dimensional shape.

please help and thank you.

Answer 1

Answer to part 1) is shown in the diagram below

Answer to part 2)

By rotating a circle on the y-axis we obtain a solid shape called TORUS. This shape is like a pipe with its two ends joined. In older literature, it is called 'anchor ring' as its shape does look like a ring.