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

75 unit²

We know that,

TSA of hemisphere = 3πr² 

We have,

Radius of the hemisphere = $\sqrt{\frac{25}{\pi}}$ unit.

According to the question,

TSA = 3π [$\sqrt{\frac{25}{\pi}}$]² 

= TSA = 3π × \(\frac{25}{ π }\) = 3 × 25 = 75 unit²