The formula for the volume \( V \) of a sphere is given by:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given the radius \( r = 1.8 \) yards, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (1.8)^3 \]
Now, we calculate \( (1.8)^3 \):
\[ (1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]
Now we substitute this value back into the formula for the volume:
\[ V = \frac{4}{3} \pi (5.832) \]
Next, we multiply \( \frac{4}{3} \) by \( 5.832 \):
\[ \frac{4}{3} \times 5.832 \approx 7.776 \]
So the volume of the sphere in terms of \( \pi \) is:
\[ V \approx 7.776 \pi \text{ yds}^3 \]
Rounding \( 7.776 \) to the nearest hundredth gives us \( 7.78 \).
Therefore, the final answer in terms of \( \pi \) is:
\[ 7.78 \pi \text{ yds}^3 \]
Among the options given, the correct response is:
7.78π yds³