To find the surface area of a sphere, you can use the formula:
\[ \text{Surface Area} = 4 \pi r^2 \]
Given that the diameter of the sphere is 10 meters, the radius \( r \) would be half of the diameter, which is:
\[ r = \frac{10}{2} = 5 \text{ meters} \]
Now, plug the radius into the surface area formula:
\[ \text{Surface Area} = 4 \pi (5)^2 \]
\[ \text{Surface Area} = 4 \pi (25) \]
\[ \text{Surface Area} = 100 \pi \]
Using the approximation \( \pi \approx 3.1416 \):
\[ \text{Surface Area} = 100 \times 3.1416 \]
\[ \text{Surface Area} \approx 314.16 \text{ m}^2 \]
Therefore, the closest option provided is:
\[ 314.2 \text{ m}^2 \]
So, the correct answer is:
\[ 314.2 \text{ m}^2 \]
12. Find the surface area of the sphere 10m.
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314.2 m squared
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1 answer