A hemisphere (half-sphere) has a radius of 4 cm. What is its total surface area?
Options
A
32π cm²
B
48π cm²
C
64π cm²
D
80π cm²
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves calculating the total surface area of a hemisphere, which includes:
1. The curved part (half of a full sphere).
2. The circular base.
Key Concept Explanation
- Curved Surface Area (CSA) of hemisphere = (half of ).
- Base Area = (since the base is a circle).
- Total Surface Area (TSA) = CSA + Base = .
Step-by-step Solution
1. Given: cm.
2. Curved Surface Area = cm².
3. Base Area =
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