What is the difference between the total surface area and the curved surface area of a hemisphere when the radius is 6.3cm? (Take π=
7
22
)
- A123.86cm
2 - B114.86cm
2 - C121.81cm
2 - D124.74cm
2
Solution & Step-by-step Explanation
For a hemisphere of radius r:
Total Surface Area (TSA) = 3πr
2
Curved Surface Area (CSA) = 2πr
2
The difference between TSA and CSA is:
Difference=3πr
2
−2πr
2
=πr
2
Given:
Radius (r) = 6.3cm
π=
7
22
Difference=
7
22
×6.3×6.3
Difference=22×0.9×6.3
Difference=19.8×6.3=124.74cm
2
Total Surface Area (TSA) = 3πr
2
Curved Surface Area (CSA) = 2πr
2
The difference between TSA and CSA is:
Difference=3πr
2
−2πr
2
=πr
2
Given:
Radius (r) = 6.3cm
π=
7
22
Difference=
7
22
×6.3×6.3
Difference=22×0.9×6.3
Difference=19.8×6.3=124.74cm
2