what is the surface area of this cylinder? use π ≈ 3.14 and round your answer to the nearest hundredth…

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a cylinder is $S = 2\pi r^2+2\pi rh$, where $r$ is the radius and $h$ is the height.

Step2: Identify $r$ and $h$ values

Given that $r = 1$ ft and $h = 2$ ft.

Step3: Calculate the area of the two bases

The area of one base is $A_{base}=\pi r^2$. For two bases, $A_{2bases}=2\pi r^2$. Substitute $r = 1$ into the formula: $A_{2bases}=2\times3.14\times1^2=2\times3.14\times1 = 6.28$ square feet.

Step4: Calculate the lateral - surface area

The lateral - surface area formula is $A_{lateral}=2\pi rh$. Substitute $r = 1$ and $h = 2$ into the formula: $A_{lateral}=2\times3.14\times1\times2=12.56$ square feet.

Step5: Calculate the total surface area

$S=A_{2bases}+A_{lateral}=6.28 + 12.56=18.84$ square feet.

Answer:

18.84