To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \(V\) is the volume,
- \(r\) is the radius,
- \(h\) is the height, and
- \(\pi\) is approximately 3.14.
Given:
- Radius \(r = 9\) cm
- Height \(h = 8\) cm
Now, substituting the values into the formula:
\[ V = 3.14 \times (9)^2 \times 8 \]
First, calculate \( (9)^2 \):
\[ (9)^2 = 81 \]
Now, substitute this value back into the volume formula:
\[ V = 3.14 \times 81 \times 8 \]
Next, calculate \(81 \times 8\):
\[ 81 \times 8 = 648 \]
Now, substitute this value back into the volume formula:
\[ V = 3.14 \times 648 \]
Finally, calculate \(3.14 \times 648\):
\[ 3.14 \times 648 \approx 2035.52 \]
Rounding to the nearest tenth, we get:
\[ V \approx 2035.5 \text{ cm}^3 \]
Therefore, the correct answer is:
B. 2,034.7 cm³ (the closest option provided to 2035.5 cm³)