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.
Given that the radius \( r = 1.8 \) yards, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (1.8)^3 \]
First, calculate \( (1.8)^3 \):
\[ (1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]
Now, substitute this value back into the volume formula:
\[ V = \frac{4}{3} \pi (5.832) \]
Calculating \( \frac{4}{3} \times 5.832 \):
\[ \frac{4}{3} \times 5.832 \approx 7.776 \]
Thus, the volume in terms of \( \pi \) is:
\[ V \approx 7.776 \pi \text{ yds}^3 \]
Rounding \( 7.776 \) to the nearest hundredth, we get \( 7.78 \).
Therefore, the final answer is:
7.78π yds³