To find the volume \( V \) of a sphere with radius \( r \), we use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
For a 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 back into the volume formula:
\[ V = \frac{4}{3} \pi (5.832) \]
Now calculate \( \frac{4}{3} \times 5.832 \):
\[ \frac{4}{3} \times 5.832 \approx 7.776 \]
Thus, the volume in terms of \(\pi\) is:
\[ V \approx 7.776 \pi \text{ yds}^3 \]
Rounding this to the nearest hundredth, we have:
\[ V \approx 7.78 \pi \text{ yds}^3 \]
So the correct response is:
7.78π yds³