The volume \( V \) of a sphere can be calculated using 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, we can substitute this value into the formula:
\[ V = \frac{4}{3} \pi (1.8)^3 \]
Now, we need to calculate \( (1.8)^3 \):
\[ (1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]
Now, substituting this back into the volume formula:
\[ V = \frac{4}{3} \pi (5.832) \]
Calculating \( \frac{4}{3} \times 5.832 \):
\[ \frac{4}{3} \times 5.832 = \frac{23.328}{3} \approx 7.776 \]
Thus, we can express the volume as:
\[ V \approx 7.776\pi \]
Now, rounding this to the nearest hundredth, we get:
\[ V \approx 7.78\pi \]
Therefore, the answer in terms of \(\pi\) is:
\[ \boxed{7.78\pi \text{ yds}^3} \]
Among the choices provided, the correct answer is:
2. 7.78π yds³
3 answers