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A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be
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- 1 : 2
- 2 : 1
- 1 : √2
- √2 : 1
- 1 : 2
Correct Option: D
Curved surface area of hemisphere = 2πr²
Curved surface area of cone = πrl = πr √r² + r²
[∵ h = r]
= √2πr²
∴ Required ratio = 2πr² : 2
√2πr = √32 : 1
