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.
You mentioned the height as 12.4 cm³ and the radius as 6.2 cm³; however, the height should be in centimeters (cm), not cubic centimeters (cm³). I will use the values provided assuming they're in cm:
- Height (\( h \)): 12.4 cm
- Radius (\( r \)): 6.2 cm
Now we can calculate the volume:
\[ V = \pi (6.2, \text{cm})^2 (12.4, \text{cm}) \]
First, calculate \( r^2 \):
\[ (6.2)^2 = 38.44, \text{cm}^2 \]
Now substitute that back into the volume formula:
\[ V = \pi \times 38.44, \text{cm}^2 \times 12.4, \text{cm} \]
Now calculate it step by step:
\[ V = \pi \times 38.44 \times 12.4 \]
Calculating \( 38.44 \times 12.4 \):
\[ 38.44 \times 12.4 = 476.576, \text{cm}^3 \]
Now multiply by \( \pi \) (approximately 3.14159):
\[ V \approx 3.14159 \times 476.576 \approx 1499.438, \text{cm}^3 \]
Thus, the volume of the cylinder is approximately:
\[ V \approx 1499.44, \text{cm}^3 \]
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