To find the volume of a sphere (which is the shape of the globe), you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume and \( r \) is the radius.
First, we need to find the radius of the globe. The diameter is given as 18.8 cm, so the radius \( r \) is:
\[ r = \frac{\text{diameter}}{2} = \frac{18.8 , \text{cm}}{2} = 9.4 , \text{cm} \]
Now we can substitute the radius into the volume formula:
\[ V = \frac{4}{3} \pi (9.4 , \text{cm})^3 \]
Calculating \( (9.4 , \text{cm})^3 \):
\[ (9.4 , \text{cm})^3 = 9.4 \times 9.4 \times 9.4 = 830.584 , \text{cm}^3 \]
Now, substitute this value back into the volume formula:
\[ V = \frac{4}{3} \pi (830.584 , \text{cm}^3) \]
Calculating this:
\[ V \approx \frac{4}{3} \times 3.14159 \times 830.584 \approx 3486.90 , \text{cm}^3 \]
Thus, the volume of the globe is approximately:
\[ \boxed{3486.90 , \text{cm}^3} \]
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