To find the volume of a cylinder, use the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
Given:
- \( r = 6.2 \) cm
- \( h = 12.4 \) cm
- \( \pi \approx 3.14 \)
Now, first calculate \( r^2 \):
\[ r^2 = (6.2)^2 = 38.44 , \text{cm}^2 \]
Next, plug in the values into the volume formula:
\[ V = 3.14 \times 38.44 \times 12.4 \]
Now calculate the volume:
- Calculate \( 3.14 \times 38.44 \):
\[ 3.14 \times 38.44 \approx 120.4786 \]
- Now multiply that by the height (12.4 cm):
\[ 120.4786 \times 12.4 \approx 1496.93064 \]
So, the volume \( V \) of the cylinder is approximately:
\[ V \approx 1496.93 , \text{cm}^3 \]
Thus, the volume of the cylinder is about 1496.93 cm³.
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