How would I go about calculating the surface area? ### Question 22: Surface Area of a Sphere#### Problem StatementA sphere with a radius (r) of 4 cm is given. Calculate the surface area of the sphere.#### DiagramThe diagram provided shows a sphere with a labeled radius. The radius is indicated as a line extending from the center of the sphere to its surface. The sphere is simply labeled as "a sphere."#### Options- A) 67.0 cm²- B) 200.8 cm²- C) 267.9 cm²- D) 50.2 cm²#### ExplanationTo solve this problem, you will use the formula for the surface area of a sphere:\[ \text{Surface Area} = 4 \pi r^2 \]Given:- Radius $ r = 4 \, \text{cm} $- $\pi \approx 3.14$Step-by-Step Solution:1. Calculate $ r^2 $:\[ r^2 = 4^2 = 16 \, \text{cm}^2 \]2. Multiply by $\pi$:\[ 4 \pi r^2 = 4 \times 3.14 \times 16 \]3. Simplify the multiplication:\[ 4 \times 3.14 = 12.56 \]\[ 12.56 \times 16 = 200.96 \, \text{cm}^2 \]The closest option to 200.96 cm² is:- **B) 200.8 cm²**Thus, the answer is **B) 200.8 cm²**.

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Answered: 22) A sphere with r = 4 cm radius (a…

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22) A sphere with r = 4 cm radius (a sphere) A) 67.0 cm2 B) 200.8 cm2 C) 267.9 cm2 D) 50.2 cm2

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How would I go about calculating the surface area?

### Question 22: Surface Area of a Sphere

#### Problem Statement
A sphere with a radius (r) of 4 cm is given. Calculate the surface area of the sphere.

#### Diagram
The diagram provided shows a sphere with a labeled radius. The radius is indicated as a line extending from the center of the sphere to its surface. The sphere is simply labeled as "a sphere."

#### Options
- A) 67.0 cm²
- B) 200.8 cm²
- C) 267.9 cm²
- D) 50.2 cm²

#### Explanation
To solve this problem, you will use the formula for the surface area of a sphere:

\[ \text{Surface Area} = 4 \pi r^2 \]

Given:
- Radius $ r = 4 \, \text{cm} $
- $\pi \approx 3.14$

Step-by-Step Solution:
1. Calculate $ r^2 $:
\[ r^2 = 4^2 = 16 \, \text{cm}^2 \]
2. Multiply by $\pi$:
\[ 4 \pi r^2 = 4 \times 3.14 \times 16 \]
3. Simplify the multiplication:
\[ 4 \times 3.14 = 12.56 \]
\[ 12.56 \times 16 = 200.96 \, \text{cm}^2 \]

The closest option to 200.96 cm² is:
- **B) 200.8 cm²**

Thus, the answer is **B) 200.8 cm²**.

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