Answer:
![6.185in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gb6kg0zicbhx9u24cbof12cgsp2bre6mvn.png)
Explanation:
The formula for calculate the volume of a cylinder is:
![V_(cylinder)=\pi r^2h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/329pplaw7hqdccn5w4n9ldbvotj6ilk8q4.png)
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:
(Where d is the diameter)
![r=(3in)/(2)=1.5in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q7wpu7cmhjue3k8bf5mpxp7vklnp9zkdvi.png)
Knowing the height and the radius, you can calculate the volume of the entire can of tuna:
![V_(can)=\pi (1.5)^2(1.75in)=12.37in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gllx9234vs3009iuzatajd43edqaga0w8i.png)
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:
![V_(tuna)=(V_(can))/(2)\\\\V_(tuna)=(12.37in^3)/(2)\\\\V_(tuna)=6.185in^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/egiw4nmyp0b7edvyxr0gxs15mkl1lmzcoy.png)