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A sphere whose total surface area is (49π/4) cm2 by mistake a person divide the sphere into two part of hemisphere so that the total surface area of sphere is changed. Find the total surface area of each hemisphere.

A sphere whose total surface area is (49π/4) cm2 by mistake a person divide the sphere into two part of hemisphere so that the total surface area of sphere is changed. Find the total surface area of each hemisphere. Correct Answer 28.875

Given :-

Total surface area of sphere = (49π/4) cm2 

Concept :-

Total surface area of sphere = 4πr2

Total surface area of hemisphere = 3πr2

Where, π = (22/7)

Calculation :-

⇒ Total surface area of sphere = 4 × π × r2

⇒ (49π/4) = 4 × π × r2

⇒ r = √(49/16)

⇒ r = 7/4 

Now, 

⇒ Total surface area of hemisphere = 3 × (22/7) × (7/4)2

⇒ Total surface area of hemisphere = (231/8)

⇒ Total surface area of hemisphere = 28.875

∴ Total surface area of each hemisphere is 28.875

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