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The total surface area of a solid hemisphere of diameter 14 cm is:

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HTET TGT Mathematics 2021 Official Paper
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  1. 348 cm2
  2. 442 cm2
  3. 462 cm2
  4. 478 cm2

Answer (Detailed Solution Below)

Option 3 : 462 cm2
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Detailed Solution

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Given:

Diameter = 14 cm

Concept:

TSA of hemisphere = 3πr2 

Calculation:

Radius, r = 14/2 = 7 cm

∴ TSA of solid hemisphere = 3 × (22/7) × 72 

⇒ 462 cm2 

Hence, the total surface area of a solid hemisphere is 462 cm2.

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