To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius of the sphere.
Given the diameter of the sphere is 10 meters, the radius \( r \) is half of the diameter:
\[ r = \frac{10}{2} = 5 \, \text{m} \]
Now, plug the radius into the formula:
\[ V = \frac{4}{3} \pi (5)^3 \]
\[ V = \frac{4}{3} \pi (125) \]
\[ V = \frac{500}{3} \pi \]
\[ V \approx \frac{500}{3} \times 3.14159 \]
\[ V \approx 523.6 \, \text{m}^3 \]
Therefore, the volume of the sphere is approximately:
\[ 523.6 \, \text{m}^3 \]
The correct choice from the given options is:
523.6 m cubed
13. Find the volume of the sphere 10m.
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314.2 m squared
523.6 m cubed
1256.6 m cubed
4188.8 m cubed
1 answer