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ICSE Class 10 Mathematics Question 35 of 49

Multiple-Choice Questions — Question 35

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Question

Question 35

Two identical solid hemispheres are kept in contact to form a sphere. The ratio of the total surface areas of two hemispheres to the surface area of the sphere formed is :

  1. 1 : 1

  2. 3 : 2

  3. 2 : 3

  4. 2 : 1

Two identical solid hemispheres are kept in contact to form a sphere. The ratio of the total surface areas of two hemispheres to the surface area of the sphere formed is : Maths Competency Focused Practice Questions Class 10 Solutions.
Answer

Let radius of hemisphere be r.

Total surface area of hemisphere = 3πr2

Total surface area of two hemisphere = 2 × 3πr2 = 6πr2.

Total surface area of sphere = 4πr2

Total surface area of two hemisphere : Total surface area of sphere = 6πr2 : 4πr2

= 6 : 4

= 3 : 2.

Hence, Option 2 is the correct option.