What will be the surface area of the sphere having 4 cm radius?

Options

A. 64ti sq cm
B. 69tu sq cm
C. 32 n sq cm
D. 35 sq cm

Answer

To find the surface area of a sphere with a radius of 4 cm, we can follow these steps:

### Step 1: Identify the formula for the surface area of a sphere.
The formula for the surface area \( A \) of a sphere is given by:
\[ A = 4 \pi r^2 \]

### Step 2: Substitute the radius into the formula.
Given that the radius \( r \) is 4 cm, we substitute this value into the formula:
\[ A = 4 \pi (4)^2 \]

### Step 3: Calculate \( r^2 \).
First, we calculate \( (4)^2 \):
\[ (4)^2 = 16 \]

### Step 4: Substitute \( r^2 \) back into the formula.
Now, substitute \( 16 \) back into the surface area formula:
\[ A = 4 \pi (16) \]

### Step 5: Multiply \( 4 \) and \( 16 \).
Now, we multiply \( 4 \) by \( 16 \):
\[ A = 64 \pi \]

### Step 6: Substitute the value of \( \pi \).
Using the approximate value of \( \pi \) as \( 3.14 \) (or \( 22/7 \) if preferred), we can calculate the surface area:
\[ A = 64 \times 3.14 \]

### Step 7: Perform the multiplication.
Now, we calculate:
\[ A = 200.96 \text{ cm}^2 \]

### Final Answer:
The surface area of the sphere with a radius of 4 cm is approximately \( 200.96 \text{ cm}^2 \).

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