Find the surface area of the sphere, to the nearest tenth. Use 3.14 for p. r = 6 m

1. Break Down the Problem

To find the surface area of a sphere, we will use the formula: $A = 4 \pi r^2$ where $A$ is the surface area and $r$ is the radius of the sphere.

2. Relevant Concepts

In this case, we will substitute the given values into the formula. The radius $r$ is given as $6 \, \text{m}$ and we will use $\pi \approx 3.14$.

3. Analysis and Detail

Now, we will substitute the values into the formula and perform the calculations:

1. Calculate $r^2$: $r^2 = 6^2 = 36$

2. Calculate $4 \pi r^2$: $A = 4 \times 3.14 \times 36$

   Calculating $4 \times 3.14$: $4 \times 3.14 = 12.56$

   Now, multiply this result by $36$: $A = 12.56 \times 36 = 452.16$

4. Verify and Summarize

The calculated surface area of the sphere is $452.16 \, \text{m}^2$. Rounding this to the nearest tenth gives us $452.2 \, \text{m}^2$.

Final Answer

The surface area of the sphere is $452.2 \, \text{m}^2$.