To find the volume of a cylindrical can, we can use the formula:
\[ V = \pi r^2 h \]
where \( r \) is the radius of the base and \( h \) is the height of the cylinder.
From the information provided:
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The diameter of the can is 4.5 inches, so the radius \( r \) is half of that: \[ r = \frac{4.5}{2} = 2.25 \text{ inches} \]
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The height \( h \) of the can is 3 inches.
Now, we can substitute these values into the formula for volume:
\[ V = \pi (2.25)^2 (3) \]
First, calculate \( (2.25)^2 \):
\[ (2.25)^2 = 5.0625 \]
Now substitute this back into the volume formula:
\[ V = \pi (5.0625) (3) \] \[ V = 15.1875 \pi \]
Thus, rounding to the standard responses, the closest option would be \( 15.1875 \pi \). However, this isn't present among your provided options. Please double-check the dimensions or the options given for any discrepancies.