To find the surface area of a cylinder, you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.
The cylinder has a diameter of 4 feet, which means the radius \( r \) is half of that:
\[ r = \frac{4}{2} = 2 \text{ feet} \]
The height \( h \) is given as 1 foot. Now we can plug the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times (1 + 2) \]
Calculating it step-by-step:
-
Calculate \( (h + r) \):
\( h + r = 1 + 2 = 3 \)
-
Substitute into the surface area formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 2 \times 3 \]
-
Calculate:
- \( 2 \times 2 = 4 \)
- \( 4 \times 3 = 12 \)
- \( 12 \times 3.14 = 37.68 \)
So, the total surface area is 37.68 square feet.
Therefore, the answer is:
37.68 square feet