To find the volume \( V \) of a sphere, you can 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, 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:
\[ V = \frac{4}{3} \pi (5.832) \]
Now calculate \( \frac{4}{3} \times 5.832 \):
\[ \frac{4}{3} \times 5.832 \approx 7.776 \]
So the volume in terms of \( \pi \) is:
\[ V \approx 7.776 \pi \text{ yds}^3 \]
Now rounding \( 7.776 \) to the nearest hundredth gives:
\[ 7.78 \pi \text{ yds}^3 \]
Based on the options provided, the correct response is:
7.78π yds³