A hemisphere and a cone have equal bases. If their heights are also equal, then ratio of their curved surface will be

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CollectorBabu · Accepted Answer

Correct Answer: √ 2:1. Curved surface Area of a Hemisphere =2 π r 2 Curved surface Area of a cone = π rs Let the radius of the hemisphere base radius of cone their height are also equal of the hemisphere =r Therefore height of the cone, h=r Ratio curved surface Area =2 π r 2 : π rs =2 π r 2 : π r √ r 2 +h 2 =2 π r2: π r √ r2+r2 ​ =2 π r2: π r √ 2r2 ​ =2 π r2: √ 2 ​ π r2 =2: √ 2 ​ = √ 2 ​ :1 ∴  The ratio of curved surface area = √ 2 ​ :1

A hemisphere and a cone have equal bases. If their heights are also equal, then ratio of their curved surface will be

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