The total surface area of a hemisphere is 41.58sq cm. Find its curved surface area.
- A27.72sq cm
- B55.44sq cm
- C9.24sq cm
- D13.86sq cm
Solution & Step-by-step Explanation
For a solid hemisphere of radius r:
Total Surface Area (TSA) = 3πr
2
Curved Surface Area (CSA) = 2πr
2
We are given:
TSA=3πr
2
=41.58sq cm
We can express CSA in terms of TSA:
CSA=
3
2
×TSA
CSA=
3
2
×41.58
CSA=2×13.86=27.72sq cm
Total Surface Area (TSA) = 3πr
2
Curved Surface Area (CSA) = 2πr
2
We are given:
TSA=3πr
2
=41.58sq cm
We can express CSA in terms of TSA:
CSA=
3
2
×TSA
CSA=
3
2
×41.58
CSA=2×13.86=27.72sq cm