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.
- First, we need to find the radius of the globe. The diameter is given as 23.8 cm, so the radius \( r \) is half of that:
\[ r = \frac{23.8 , \text{cm}}{2} = 11.9 , \text{cm} \]
- Now, substitute \( r \) into the volume formula:
\[ V = \frac{4}{3} \pi (11.9)^3 \]
- Calculate \( (11.9)^3 \):
\[ (11.9)^3 \approx 1685.859 \]
- Substitute \( (11.9)^3 \) into the volume formula:
\[ V \approx \frac{4}{3} \times 3.14 \times 1685.859 \]
- Calculate the volume:
\[ V \approx \frac{4}{3} \times 3.14 \times 1685.859 \approx \frac{4 \times 3.14 \times 1685.859}{3} \approx \frac{21171.5873}{3} \approx 7057.1958 \]
- Finally, round to the nearest hundredth:
\[ V \approx 7057.20 , \text{cm}^3 \]
So the volume of the globe is approximately \( 7057.20 , \text{cm}^3 \).
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