Mensurationmedium · Past Paper
A right circular cylinder and a cone have equal bases and equal heights. Find the ratio of their curved surface areas if their height is √3 times the radius.
A√3 : 1
B2 : 1
C√3 : 2
D1 : √3
✓ Correct Answer: C — √3 : 2
Height h=r√3. Slant height l = √(r² + 3r²) = 2r. Cylinder CSA = 2πr(r√3) = 2√3πr². Cone CSA = πr(2r) = 2πr². Ratio = √3:1.
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