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, and
- \( h \) is the height.
Given:
- Radius \( r = 7 \) cm
- Height \( h = 13 \) cm
Now, substitute the values into the formula:
\[ V = \pi (7^2)(13) \]
First, calculate \( 7^2 \):
\[ 7^2 = 49 \]
Now multiply by the height:
\[ 49 \times 13 = 637 \]
Now multiply by \( \pi \) (approximately 3.14159):
\[ V \approx 3.14159 \times 637 \approx 2000.18 \text{ cm}^3 \]
Thus, the volume of the cylinder is approximately 2000.18 cm³ when rounded to the nearest hundredth.
Therefore, the correct answer is:
- 2000.18
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