Question

Find the Surface Area of the cylinder. Do not round.

Surface area = total area of circular bases + area of lateral rectangular face.



(3 points)
Surface Area =

(total area of circular bases) +
(area of lateral rectangular face) =
square inches
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Answer 1

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!