Question

Total surface area of a solid hemisphere is 120cm.It split into two hemispheres. what is their surface area?

Answer 1

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Answer 2

Correct Question:

Total surface area of a solid sphere is 120 cm². It split into two hemispheres. What is their surface area?

Answer:

• Total surface area of two hemispheres = 179.88 cm²

Step-by-step explanation:

Given:

• TSA of sphere = 120 cm²

To Find:

• TSA of two hemispheres.

Now, we know that,

⇒ Total surface area of sphere = 4πr²

⇒ 120 = 4 × 3.14 × r²

⇒ 120 = 12.56 × r²

⇒ r² = 120/12.56

⇒ r² = 9.55

⇒ r = √9.55

⇒ r = 3.09 cm (Approx)

Now, we will calculate TSA of two spheres,

⇒ Total surface area of 2 spheres = 2 × 3πr²

⇒ Total surface area of 2 spheres = 6πr²

⇒ Total surface area of 2 spheres = 6 × 3.14 × 3.09 × 3.09

⇒ Total surface area of 2 spheres = 179.88 cm²

Hence, Total surface area of two hemispheres = 179.88 cm²