Answer:
The shape of the cross-section is a square
Step-by-step explanation:
Given
[tex]r =2[/tex]
[tex]h = 4[/tex]
See attachment
Required
The shape of the cross-section
From the attachment, we can see that when the cylinder is cut vertically, the shape formed is a quadrilateral of equal opposite sides.
The dimension of the shape is: the height of the cylinder and the diameter of the base circle
From the given parameters, we have the radius and the height to be:
[tex]r =2[/tex]
[tex]h = 4[/tex]
The diameter (d) is:
[tex]d = 2 * r[/tex]
[tex]d = 2 * 2[/tex]
[tex]d = 4[/tex]
So, the dimension is:
[tex]h = 4[/tex] and [tex]d = 4[/tex]
Since the height and the diameter have the same lengths, then the shape is a square.