The total surface area of a hemisphere is 41.58 cm2. Find the total su

1.	The total surface area of a hemisphere is 41.58 cm2. Find the total surface area of a sphere with the same radius.1. 26.42 cm22. 55.44 cm23. 13.43 cm24. 27.72 cm2
Answer» Correct Answer - Option 2 : 55.44 cm² Given: Total surface area of a hemisphere = 41.58 cm2 Radius of hemisphere = Radius of sphere. Formula Used: Total surface area of a hemisphere = 3πr² Total surface area of a sphere = 4πr² Calculation: Total surface area of a hemisphere is 41.58 cm2 ⇒ 3πr2 = 41.58 ⇒ r² = 41.58/3π As the radius of a sphere is the same as that of a hemisphere. ⇒ Total surface area of a sphere = 4πr2 Using the above value of r² ⇒ Total surface area of a sphere = 4π × (41.58/3π) ⇒ Total surface area of a sphere = 4 × 13.86 ⇒ Total surface area of a sphere = 55.44 ∴ Total surface area of a sphere is 55.44 cm²

The total surface area of a hemisphere is 41.58 cm2. Find the total surface area of a sphere with the same radius.1. 26.42 cm22. 55.44 cm23. 13.43 cm24. 27.72 cm2

Answer» Correct Answer - Option 2 : 55.44 cm²

Given:

Total surface area of a hemisphere = 41.58 cm2

Radius of hemisphere = Radius of sphere.

Formula Used:

Total surface area of a hemisphere = 3πr²

Total surface area of a sphere = 4πr²

Calculation:

Total surface area of a hemisphere is 41.58 cm2

⇒ 3πr2 = 41.58

⇒ r² = 41.58/3π

As the radius of a sphere is the same as that of a hemisphere.

⇒ Total surface area of a sphere = 4πr2

Using the above value of r²

⇒ Total surface area of a sphere = 4π × (41.58/3π)

⇒ Total surface area of a sphere = 4 × 13.86

⇒ Total surface area of a sphere = 55.44

∴ Total surface area of a sphere is 55.44 cm²

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