A hemisphere and a cone have equal bases, if their heights are also equal, the ratio of their
curved surface will be
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Answer: √2:1
Step-by-step explanation:
Given
1. Radius of hemisphere = radius of cone.
2. Height of hemisphere = Height of
Cone
i.e. radius of hemisphere = height of cone
Curved surface area of hemisphere =2×πr²
Curved surface area of cone = πrl
l = √(2)×r
Ratio of their curved surface area
= 2×πr² : πr√(2)r
=2 : √2
= √2 : 1
For diagram see the photo.
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