SSC CPO 2022 PYQ — Question 102

SSC CPO - 9 Nov 2022 - Shift 2 • Quantitative Aptitude • Q102

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.