The shapes of the horizontal cross-sections of the cylinder below are all discs of the same radius.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Break Down the Problem

1. Identify the shape of the object: a cylinder.
2. Understand the geometry of the cylinder, specifically its horizontal cross-sections.

Relevant Concepts

• A cylinder is defined as a three-dimensional shape with two parallel circular bases connected by a curved surface.
• The horizontal cross-section of a cylinder, taken at any height, will always be a circle (disc), which is parallel to the bases.

Analysis and Detail

1. When a horizontal cross-section is taken from a cylinder, regardless of the position, the cross-section will be perpendicular to the height of the cylinder.
2. Since the bases of the cylinder are circular and all cross-sections are parallel to these bases, every horizontal cut through the cylinder maintains the same radius.

Verify and Summarize

• All horizontal cross-sections of a cylinder are indeed discs of the same radius, as they are essentially slices of the circular bases.

Final Answer

A. True