To find the volume of a sphere, we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
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, we calculate \( (1.8)^3 \):
\[ 1.8^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]
Now, substitute back into the volume formula:
\[ V = \frac{4}{3} \pi (5.832) \]
Now calculate \( \frac{4}{3} \times 5.832 \):
\[ \frac{4}{3} \times 5.832 = \frac{4 \times 5.832}{3} = \frac{23.328}{3} \approx 7.776 \]
Thus, the volume is approximately:
\[ V \approx 7.776 \pi \]
So, the volume of the sphere in terms of pi is:
\[ 7.776 \pi \text{ yds}^3 \]
Rounding \( 7.776 \) to the nearest hundredth gives \( 7.78 \).
The final answer is:
\[ \boxed{7.78 \pi \text{ yds}^3} \]