A hemisphere has 42 cm diameter. Find its curved surface area and the total surface area.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 2772 cm2, 4158 cm2.
We know that,
Curved surface area = 2πr2
The total surface area = 3πr2
Now,
According to the question,
Radius of hemisphere = 42/2 = 21 cm
Now,
CSA of the hemisphere = 2π(21)2
⇒ 2(22/7)(441) = 19404/7 = 2772 cm2
Now, TSA of the hemisphere
TSA = 3π(21)2
⇒ 3(22/7)(441) = 29106/7 = 4158 cm2
Thus
The curved surface area and the total surface area of the hemisphere are 2772 cm2 and 4158 cm2.