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

Explanation:

Step1: Calculate the area of the two - circular bases

The formula for the area of a circle is $A_{base}=\pi r^{2}$. Given $r = 2$m, then $A_{base}=3.14\times2^{2}=3.14\times4 = 12.56$ square meters. The area of two bases is $A_{2bases}=2\times12.56 = 25.12$ square meters.

Step2: Calculate the lateral - surface area

The formula for the lateral - surface area of a cylinder is $A_{lateral}=2\pi rh$. Here, $r = 2$m and $h = 4$m, so $A_{lateral}=2\times3.14\times2\times4=3.14\times16 = 50.24$ square meters.

Step3: Calculate the total surface area

The total surface area of a cylinder $A = A_{2bases}+A_{lateral}$. Substitute the values we found: $A=25.12 + 50.24=75.36$ square meters.

Answer:

75.36