Answer:
326.56 in².
Step-by-step 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:
[tex]SA=2\pi r^2+2\pi rh[/tex]
[tex]r-radius[/tex]
[tex]h-height[/tex]
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.
[tex]SA=2\pi 4^2+2\pi4*9- (2*3.14*4*4)+(2*3.14*4*9)=326.56.[/tex]
Mathematics: Conclude.
Therefore, the surface area of this cylinder is 356.56 in².
