Question : Determine the total surface area of a hemisphere closed at the bottom. Radius of the hemisphere is $\sqrt{\frac{25}{\pi}}$ unit.
Option 1: 75 unit2
Option 2: 70 unit2
Option 3: 60 unit2
Option 4: 50 unit2
Correct Answer: 75 unit 2
Solution :
Given,
Radius of the hemisphere ($r$) = $\sqrt{\frac{25}{π}}$ unit
Total Surface Area of the hemisphere
= $3πr^2$
= $3\times \pi\times(\sqrt{\frac{25}{π}})^2$
= $3\times \pi\times({\frac{25}{π}})$
= 75 unit
2
Hence, the correct answer is 75 unit
2
.
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