A solid sphere is cut into two hemispheres. The ratio of the surface areas of sphere to that of two hemispheres taken to... | MCQ 1m | Maths | SuperPadhai

Surface Areas And Volumes > Question

MCQ1 markYear: 2024MediumCBSE Class 10

surface-areas-and-volumesspherehemisphere

Question

A solid sphere is cut into two hemispheres. The ratio of the surface areas of sphere to that of two hemispheres taken together, is:

Solution

1

Surface area of sphere

= 4 π r^{2}

Surface area of two hemispheres

= 2 (2 π r^{2} + π r^{2}) = 6 π r^{2}

Ratio

= 4 π r^{2} : 6 π r^{2} = 2 : 3

+1 mark

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