Question

The volume of a hemisphere is 19404 cm³. The total surface area of the hemisphere is ______.

Options

•  4158 cm²

• 16632 cm²

• 8316 cm²

• 3696 cm²

Answer 1

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

Explanation:

Volume of hemisphere `=2/3pi"r"^3`

Therefore,

`2/3pi"r"^3 = 19404`

`=> 2/3xx22/7xx"r"^3 = 19404`

`=> "r"^3 = (19404 xx 21/44)`

⇒ r³ = (21)³

⇒ r = 21 cm

Hence, the total surface area of the hemisphere = 3πr² 

`=(3xx22/7xx21xx21) "cm"^2`

= 4158 cm²