Question
A hemisphere and a cone have equal bases . If their height are also equal, then the ratio of their curved surface will be :
Answer: Option D
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Let the radius of each be R Height of hemisphere, H = R
So , height of cone = height of hemisphere = R.
Slant height of cone = `sqrt(R^2 + R^2) = sqrt(2R)`
(Curved surface area of hemisphere)/ (Curved surface area of cone)
=` (2pi R^2)/(pi R xx sqrt(2R)) = sqrt(2) : 1`
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