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

Explanation:

Step1: Calculate area of two bases

The formula for the area of a circle is $A_{base}=\pi r^{2}$. Given $r = 6$ inches. The area of two - bases is $A_{2bases}=2\times\pi r^{2}=2\times3.14\times6^{2}=2\times3.14\times36 = 226.08$ square inches.

Step2: Calculate lateral surface area

The formula for the lateral - surface area of a cylinder is $A_{lateral}=2\pi r h$. Here, $r = 6$ inches and $h = 3$ inches. So $A_{lateral}=2\times3.14\times6\times3=113.04$ square inches.

Step3: Calculate total surface area

The total surface area of a cylinder $A = A_{2bases}+A_{lateral}$. So $A=226.08 + 113.04=339.12$ square inches.

Answer:

$339.12$