Answer: [tex]6.185in^3[/tex]
Step-by-step explanation:
The formula for calculate the volume of a cylinder is:
[tex]V_{cylinder}=\pi r^2h[/tex]
r is the radius of the cylinder and h is the height of the cylinder.
Given the diameter of 3 inches, calculate the radius of the cylinder with:
[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)
[tex]r=\frac{3in}{2}=1.5in[/tex]
Knowing the height and the radius, you can calculate the volume of the entire can of tuna:
[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]
As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:
[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]
