Question

Given on the left is the unwrapped surface of a hollow sphere that was intersected by a smaller solid sphere. Which of the options would result in this unwrapped surface?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is A, D

A hollow sphere that is intersected by a smaller solid sphere results in the removal of a circular section from its surface. To determine which options match the given unwrapped surface, consider the geometric characteristics involved:

• The unwrapped surface should show an area corresponding to the section removed by the intersecting sphere, which will appear as a circle.
• The curvature of the removed surface must match the size and shape of the intersecting sphere.
• Visual identification: Since the unwrapped surface shows a pronounced circular pattern, look for images that represent this overlap.

After analyzing the options, the following matches are found:

These options display the appropriate removal pattern and represent the intersection of a smaller sphere with the hollow sphere, forming the circular unwrapped surface correctly.