Answer: [tex]33.04\ in^3[/tex]
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height of the cylinder.
In this case, you know that the diameter of the can is:
[tex]d=2.9\ in[/tex]
Since the radius is half the diameter, this is:
[tex]r=\frac{2.9\ in}{2}=1.45\ in[/tex]
And the height is:
[tex]h=5\ in[/tex]
Therefore, substituting values into the formula and using [tex]\pi =\frac{22}{7}[/tex], you get that the volume of the can, rounded to the nearest hundredth, is:
[tex]V=(\frac{22}{7})(1.45\ in)^2(5\ in)\\\\V\approx 33.04\ in^3[/tex]
