Question

Identify the cross-section of a sphere.

A) Figure 4
B) Figure 1
C) Figure 2
D) Figure 3

Answer 1

Hint: The term cross-section means a surface or a shape was exposed by making a straight cut through the shape or the surface. It will be done at the right angle to any one of the axes. When a cross-section is made of a sphere, it is containing a diameter and a spherical arc. So, it will be a circle. The cross-section is nothing but the slicing the part of the sphere

Complete step by step answer:
Now we are going to find the cross-section of a sphere,
To find the cross-section of a sphere we should cut along the sphere along the right angle to any one of the axes.
Now let us make the cross-section of the sphere along the right angle to X-axis so that we can verify the answer with the options given,

Here it is clear that the axis is drawn perpendicular to X-axis. And the cross-section has to lead us to a circle that is given in the options.

$\therefore$ The correct option is \[(B)\] figure 1.

Additional information:
Let us do the cross-section of the sphere right angle to the Y-axis.

Here the cross-section is made and a circle is found. So we can come to the conclusion that the cross-section made along any of the axes will lead to a circle.

Note:
It is clear that the other options given in the question are not the cross-section of any of the shapes. The cross-section of the sphere will lead to a circle as it is just the slicing of it.