Answer: OPTION A.
Step-by-step explanation:
The volume of a cylinder can be found using the following formula:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of the cylinder.
Analizing the data given in the exercise, you can identify that:
[tex]h=5\ in[/tex]
Since the radius is half the diameter, this is:
[tex]r=\frac{d}{2}\\\\r=\frac{3\ in}{2}\\\\r=1.5\ in[/tex]
Knowing these values, you can substitute them into the equation and then evaluate, in order to calculate the volume of the can. This is:
[tex]V=\pi (1.5\ in)^2(5\ in)\\\\V=11.25\pi\ in^3[/tex]
