Question #6438883Single Choice
Geometry
Question

Are these two cylinders similar?
Options
A
Yes
B
No
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves determining the similarity of two cylinders using the given radii and heights.
The main focus is on comparing the ratios of the radii and heights to check if they meet the similarity criteria for cylinders.
Key Concept Explanation
Two cylinders are similar if the ratio of their radii is equal to the ratio of their heights.
This is because the shape of a cylinder is defined by these two linear dimensions, and for similarity, they must scale proportionally.
Step-by-Step Solution
Calculate the ratio of the radii of Cylinder N to Cylinder M: .
Calculate the ratio of the heights:
This question involves determining the similarity of two cylinders using the given radii and heights.
The main focus is on comparing the ratios of the radii and heights to check if they meet the similarity criteria for cylinders.
Key Concept Explanation
Two cylinders are similar if the ratio of their radii is equal to the ratio of their heights.
This is because the shape of a cylinder is defined by these two linear dimensions, and for similarity, they must scale proportionally.
Step-by-Step Solution
Calculate the ratio of the radii of Cylinder N to Cylinder M: .
Calculate the ratio of the heights:
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