The volume of a hemisphere is 19404 cm³. The total surface area of the hemisphere is
A. 4158 cm²

B. 16632 cm²

C. 8316 cm²

D. none of these

Given: The volume of a hemisphere is 19404 cm³.

Volume of the hemisphere is given by: × π × r³

∴ × π × r³ = 19404

⇒ r³ = 19404 × = 9261

⇒ r³ = 9261 ⇒ r = ∛9261

⇒ r = 21

Now, Total surface area of hemisphere is given by: 3πr²

Let S be the TSA

∴ S = 3 × π × r²

⇒ S = 3 × π × (21)² = 4158 cm²

∴ S = 4158 cm²

That is TSA of the given sphere is 4158 cm²