Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2 select the correct answer from each drop-down menu. a circle is rotat…

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 ring with a dropdown center reset solid hollow

Explanation:

Step1: Analyze the rotation of the circle

When a circle is rotated around a vertical axis and does not intersect the axis, the resulting 3D shape is a torus (or a ring - shaped object).

Step2: Determine the nature of the shape

Since the circle does not intersect the axis, the space inside the ring - shaped object (the torus) is empty. So the shape is a ring with a hollow center. The option "hollow" is correct for the second drop - down as the region inside the ring - like structure (torus) is empty, while "solid" would imply that the entire region within the bounds of the ring is filled, which is not the case here.

Answer:

The three - dimensional shape resulting from the rotation is a ring with a hollow center. So the second drop - down answer is hollow.