The volume \( V \) of a sphere is calculated using 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 that value into the formula.
First, calculate \( r^3 \):
\[ r^3 = (1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]
Now use the volume formula:
\[ V = \frac{4}{3} \pi (5.832) = \frac{4 \times 5.832}{3} \pi \]
Now calculate \( \frac{4 \times 5.832}{3} \):
\[ 4 \times 5.832 = 23.328 \] \[ \frac{23.328}{3} = 7.776 \]
Now substituting back into the volume formula gives:
\[ V = 7.776 \pi \]
Rounding this to the nearest hundredth, we have:
\[ V \approx 7.78 \pi \text{ yds}^3 \]
Thus, the correct response is:
7.78π yds³.