Cone R: Radius = 3 cm, Height = 9 cm; Cone S: Radius = 6 cm, Height = 18 cm
B
Cone T: Radius = 4 cm, Slant Height = 10 cm; Cone U: Radius = 8 cm, Slant Height = 12 cm
C
Both A and B
D
None of the above
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves determining similarity between cones by comparing ratios of corresponding linear dimensions.
The main focus is on ensuring all relevant dimensions (radius and height, or radius and slant height) maintain consistent proportionality.
Key Concept Explanation
For two cones to be similar, the ratio of their radii must equal the ratio of their heights (or slant heights).
This ensures the cones maintain the same shape, differing only in scale.
Step-by-Step Solution
Option A:
Radius ratio:
Height ratio:
Ratios are equal → Similar
Option B:
Radius ratio:
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