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