Determine the total surface area of a hemisphere closed at…

Determine the total surface area of a hemisphere closed at the bottom. The radius of the hemisphere is $\sqrt {\frac {25}\pi}$ unit.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 75 unit².

Given that

The radius of the hemisphere = $\sqrt {\frac {25}\pi}$ unit

Formula used

The total surface area of a hemisphere = 3πr²

Calculation

TSA = 3πr²= 3π × ( $\sqrt {\frac {25}\pi}$ )²

TSA = 3π × 25/π = 75 unit²

SSC CPO 2022 PYQ — Question 112