Question

if a semi - circle was rotated about the y - axis, like the one shown below, what would be the resulting three - dimensional shape?

Explanation:

Step1: Recall rotation - solid concept

When a two - dimensional shape is rotated about an axis, it forms a three - dimensional solid. For a semi - circle rotated about its diameter (in this case, the y - axis), we use the principle of generating a solid of revolution.

Step2: Identify the resulting shape

Based on the geometric property of rotation, when a semi - circle is rotated about the y - axis, the resulting three - dimensional shape is a sphere.

Answer:

Sphere