Question

if the circle in the diagram revolves about the vertical dashed line, which type of geometrical shape will it generate?
a. a cylindrical shell
b. a sphere
c. a solid cylinder
d. a solid ring

Explanation:

Step1: Recall 3 - D shape generation

When a circle rotates about an axis outside of it, it forms a solid with a hole in the middle.

Step2: Identify the shape

A solid ring (torus) is formed when a circle rotates about an axis that does not intersect it. A sphere is formed when a semi - circle rotates about its diameter. A solid cylinder is formed when a rectangle rotates about one of its sides, and a cylindrical shell is a hollow - walled cylinder.

Answer:

D. a solid ring