To find the volume 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 \( r \) is 1.8 yards, you can plug it 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:
\[ V = \frac{4}{3} \pi (5.832) \]
Calculating \( \frac{4}{3} \times 5.832 \):
\[ \frac{4 \times 5.832}{3} = \frac{23.328}{3} = 7.776 \]
Now, substituting back into the volume equation gives:
\[ V = 7.776 \pi \text{ yds}^3 \]
Rounding this to the nearest hundredth, we have:
\[ 7.78 \pi \text{ yds}^3 \]
Thus, the volume of the sphere is:
7.78π yds³