Answer:
326.56 in².
Explanation:
Mathematics: Define/explain.
SURFACE AREA: The measure of the total area that an object occupies.
The formula for finding the surface area for a cylinder is:
![SA=2\pi r^2+2\pi rh](https://img.qammunity.org/2022/formulas/mathematics/high-school/za9gmvnbg3o6djx8mmkto1esybz3g65xfi.png)
![r-radius](https://img.qammunity.org/2022/formulas/mathematics/college/53ynh3bwq204lw98ya02d0nub68c2059xa.png)
![h-height](https://img.qammunity.org/2022/formulas/mathematics/college/e4tuf7b9ycgap026kiddkfp7ip5h7vpjln.png)
Mathematics: Solve.
According to the image, the cylinder has a height of 9 inches and a base radius of 4 inches.
Now, we can plug the numbers into the formula.
![SA=2\pi 4^2+2\pi4*9- (2*3.14*4*4)+(2*3.14*4*9)=326.56.](https://img.qammunity.org/2022/formulas/mathematics/college/ndpc0l4w1wgmcq16oibgwv24bf9pq2ykbu.png)
Mathematics: Conclude.
Therefore, the surface area of this cylinder is 356.56 in².