To calculate the surface area (SA) of a cylinder, we can use the formula:
\[ SA = 2\pi r^2 + 2\pi rh \]
Where:
- \( r \) is the radius of the base of the cylinder
- \( h \) is the height of the cylinder
- \( \pi \) is given as 3.14
Since the specific values for the radius \( r \) and height \( h \) of the coffee can have not been provided, let’s consider an example to demonstrate how to calculate it.
Suppose, for example, the radius \( r \) is 3 inches and the height \( h \) is 5 inches.
- Calculate the area of the two circular bases:
\[ 2\pi r^2 = 2 \times 3.14 \times (3)^2 \] \[ = 2 \times 3.14 \times 9 \] \[ = 56.52 , \text{in}^2 \]
- Calculate the lateral surface area:
\[ 2\pi rh = 2 \times 3.14 \times 3 \times 5 \] \[ = 2 \times 3.14 \times 15 \] \[ = 94.2 , \text{in}^2 \]
- Add both areas together:
\[ SA = 56.52 + 94.2 = 150.72 , \text{in}^2 \]
Now, without the dimensions, we cannot determine which of the available options (56.52 in², 117.75 in², 174.27 in², 197.34 in²) is correct. If you provide the radius and height of the coffee can, I can calculate the exact surface area.