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.
From the information you've provided:
- The height \( h \) is 8 cm (as indicated by the left side).
- The diameter is 6 cm (as indicated by the right side), which means the radius \( r \) is half of that. Thus:
\[ r = \frac{6 , \text{cm}}{2} = 3 , \text{cm} \]
Now, substituting the values into the formula, we have:
\[ V = 3.14 \times (3 , \text{cm})^2 \times 8 , \text{cm} \]
Calculating:
\[ V = 3.14 \times 9 , \text{cm}^2 \times 8 , \text{cm} \] \[ V = 3.14 \times 72 , \text{cm}^3 \] \[ V = 226.08 , \text{cm}^3 \]
Therefore, the volume of the cylinder is 226.08 cubic centimeters.
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