The total surface area of a hemisphere is 166.32sq cm. Find its curved surface area.
- A221.76sq cm
- B36.96sq cm
- C110.88sq cm
- D55.44sq cm
Solution & Step-by-step Explanation
For a hemisphere of radius r:
Curved Surface Area (CSA)=2πr
2
Total Surface Area (TSA)=3πr
2
We are given TSA=166.32sq cm.
3πr
2
=166.32
We need to find the Curved Surface Area (CSA=2πr
2
). We can establish a direct relationship:
CSA=
3
2
×TSA
Substitute the given value:
CSA=
3
2
×166.32=2×55.44=110.88sq cm
Curved Surface Area (CSA)=2πr
2
Total Surface Area (TSA)=3πr
2
We are given TSA=166.32sq cm.
3πr
2
=166.32
We need to find the Curved Surface Area (CSA=2πr
2
). We can establish a direct relationship:
CSA=
3
2
×TSA
Substitute the given value:
CSA=
3
2
×166.32=2×55.44=110.88sq cm