A solid hemisphere is or radius 11 cm. The curved surface area in sq. cm is

Options

A. 1140.85
B. `1386.00`
C. 760.57
D. 860.57

Answer

To find the curved surface area of a solid hemisphere with a radius of 11 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the formula for the curved surface area of a hemisphere**:
The formula for the curved surface area (CSA) of a hemisphere is given by:
\[ \text{CSA} = 2 \pi r^2 \]
where \( r \) is the radius of the hemisphere.

2. **Substitute the given radius into the formula**:
Here, the radius \( r \) is given as 11 cm. We substitute this value into the formula:
\[ \text{CSA} = 2 \pi (11)^2 \]

3. **Calculate \( r^2 \)**:
First, calculate \( 11^2 \):
\[ 11^2 = 121 \]
Now substitute this back into the formula:
\[ \text{CSA} = 2 \pi (121) \]

4. **Use the value of \( \pi \)**:
We can use \( \pi \approx \frac{22}{7} \) for our calculations. Thus, we have:
\[ \text{CSA} = 2 \times \frac{22}{7} \times 121 \]

5. **Calculate the multiplication**:
First, calculate \( 2 \times 22 = 44 \):
\[ \text{CSA} = \frac{44 \times 121}{7} \]

6. **Multiply 44 and 121**:
Now, calculate \( 44 \times 121 \):
\[ 44 \times 121 = 5324 \]
So, we have:
\[ \text{CSA} = \frac{5324}{7} \]

7. **Perform the division**:
Now divide \( 5324 \) by \( 7 \):
\[ 5324 \div 7 = 760.5714 \text{ (approximately)} \]
Therefore, the curved surface area of the hemisphere is approximately \( 760.57 \, \text{cm}^2 \).

### Final Answer:
The curved surface area of the solid hemisphere is approximately \( 760.57 \, \text{cm}^2 \).

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