A hemisphere has 42 cm diameter. Find its curved surface area and the total surface area.
Answer & explanation
Correct answer: option 1
We know that,
Curved surface area = 2πr2
The total surface area = 3πr2
Diameter of the hemisphere = 42 cm
Radius of hemisphere = \(\frac{42}{2}\) = 21 cm
CSA = 2π(21)2
= CSA = 2(\(\frac{22}{7}\))(441)
= CSA = \(\frac{19404}{7}\) = 2772 cm2
Now , TSA = 3π(21)2
= TSA = 3(\(\frac{22}{7}\))(441) = \(\frac{29106}{7}\) = 4158 cm2