To calculate the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
where:
- \( r \) is the radius of the circular base,
- \( h \) is the height of the cylinder.
Step 1: Calculate Total Area of Circular Bases
The total area of the two circular bases is given by \( 2\pi r^2 \).
Step 2: Calculate Area of Lateral Rectangular Face
The area of the lateral surface (the rectangular face wrapped around the sides) is given by \( 2\pi rh \).
Step 3: Combine the Two Areas
The total surface area will be:
\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]
Example Calculation
If you provide specific values for the radius \( r \) and height \( h \) of the cylinder, I can compute the exact surface area for you. Otherwise, the surface area can be expressed in terms of \( r \) and \( h \) as shown above.
Let me know the values for \( r \) and \( h \) so we can proceed with the calculation!