To calculate the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
Given:
- The height \( h = 10 \),
- The width (diameter) is 3, so the radius \( r = \frac{3}{2} = 1.5 \).
Now, substituting the values into the formula:
\[ V = \pi (1.5)^2 (10) \]
Calculating \( (1.5)^2 \):
\[ (1.5)^2 = 2.25 \]
Now substituting back into the volume formula:
\[ V = \pi (2.25)(10) \] \[ V = 22.5\pi \]
Thus, the volume of the cylinder is:
\[ V = 22.5\pi \]
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