what is the surface area of the cylinder? use π ≈ 3.14 and write your answer as a decimal rounded to the…

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 values of $r$ and $h$

Given $r = 6$ ft and $h=7.4$ ft, and $\pi\approx3.14$.

Step3: Calculate the area of the two bases

The area of one base is $A_{base}=\pi r^{2}$. So the area of two bases is $2\pi r^{2}=2\times3.14\times6^{2}=2\times3.14\times36 = 226.08$ square feet.

Step4: Calculate the lateral - surface area

The lateral - surface area is $A_{lateral}=2\pi rh = 2\times3.14\times6\times7.4=2\times3.14\times44.4 = 278.832$ square feet.

Step5: Calculate the total surface area

$S=2\pi r^{2}+2\pi rh=226.08 + 278.832=504.912\approx504.9$ square feet.

Answer:

$504.9$