The total surface area of a hemisphere is 41.58sq cm, find its radius.
- A4.2 cm
- B0.7 cm
- C1.05 cm
- D2.1 cm
Solution & Step-by-step Explanation
The total surface area (TSA) of a solid hemisphere is given by:
TSA=3πr
2
Given TSA=41.58cm
2
:
3×
7
22
×r
2
=41.58
7
66
×r
2
=41.58
r
2
=
66
41.58×7
r
2
=0.63×7=4.41
r=
4.41
=2.1cm
TSA=3πr
2
Given TSA=41.58cm
2
:
3×
7
22
×r
2
=41.58
7
66
×r
2
=41.58
r
2
=
66
41.58×7
r
2
=0.63×7=4.41
r=
4.41
=2.1cm