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, we can substitute this value into the formula.
- Calculate \( r^3 \):
\[ r^3 = (1.8)^3 = 1.8 \times 1.8 \times 1.8 = 5.832 \]
- Now, substitute \( r^3 \) into the volume formula:
\[ V = \frac{4}{3} \pi (5.832) \]
- Calculate the volume:
\[ V = \frac{4 \times 5.832}{3} \pi = \frac{23.328}{3} \pi \approx 7.776 \pi \]
We can round \( 7.776 \) to the nearest hundredth, which gives \( 7.78 \).
Thus, the volume of the sphere is:
\[ 7.78\pi \text{ yds}^3 \]
The correct response is:
7.78π yds³
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