Question

select the correct answer.
the circle is rotated around the horizontal dashed line. which type of geometrical figure will be generated?
image of a circle with a horizontal dashed line passing through its center
a. sphere
b. ring
c. cylindrical shell
d. cylinder

Explanation:

Step1: Analyze the rotation of the circle

A circle rotated around a line passing through its center (the horizontal dashed line here passes through the center of the circle) forms a sphere. This is based on the concept of solid of revolution, where a circle rotated about a diameter (the dashed line is a diameter here) creates a spherical shape.

Step2: Evaluate the options

• Option A: Sphere is formed by rotating a circle about its diameter, which matches the situation.
• Option B: A ring is not formed by rotating a circle about a line through its center.
• Option C: A cylindrical shell is formed by rotating a rectangle or a ring - shaped region, not a circle about its diameter.
• Option D: A cylinder is formed by rotating a rectangle, not a circle about its diameter.

Answer:

A. sphere