Question

2 select the correct answer from each drop-down menu. a circle is rotated around a vertical axis. the circle does not intersect the axis. complete the following statement. the three - dimensional shape resulting from the rotation is a dropdown with a dropdown center (options: ring, cone, sphere, cylinder)

Explanation:

Step1: Recall solid of revolution

When a circle is rotated around an axis that it doesn't intersect, the resulting 3D shape is a torus (or a ring - shaped object). But from the given options, "ring" is the closest description for the first blank. For the second blank, the center of this ring - shaped object (torus) has a circular cross - section's center related to the axis, but from the context of the options (even though the second blank options are not fully visible, but based on the first part), the first shape is a ring.

Step2: Analyze the options

• A cone is formed by rotating a triangle around one of its legs.
• A sphere is formed by rotating a semicircle around its diameter.
• A cylinder is formed by rotating a rectangle around one of its sides.
• A ring (torus - like) is formed when a circle is rotated around an axis that is outside the circle (doesn't intersect it).

Answer:

First drop - down: ring
(Note: Since the second drop - down options are not fully visible, but based on the first part, the first answer is "ring". If more details about the second drop - down were provided, a more complete answer could be given.)