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question 9 of 10 the shapes of the horizontal cross-sections of the cyl…

Question

question 9 of 10

the shapes of the horizontal cross-sections of the cylinder below are all discs of the same radius.

a. true

b. false

Explanation:

Analyze the geometry of a cylinder

A right circular cylinder is a solid with two congruent, parallel circular bases. Any horizontal plane parallel to these bases intersects the cylinder to form a cross-section.

Determine the shape of horizontal cross-sections

Since the cylinder's sides are perpendicular to its circular bases, every horizontal cross-section parallel to the bases is a circular disc congruent to the bases.

Evaluate the statement

The horizontal cross-sections are indeed all discs of the same radius, making the statement true.

Answer:

  • A. True (Correct answer)
  • B. False