Questions: What is the surface area of this cylinder? Use π ≈ 3.14 and round your answer to the nearest hundredth. square inches

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.

Find the radius

The radius is half the diameter, so $r = \frac{8}{2} = 4$ inches.

Calculate the area of the two circular bases

The area of one circular base is $\pi r^2 = 3.14 \times 4^2 = 3.14 \times 16 = 50.24$ square inches. The area of two circular bases is $2 \times 50.24 = 100.48$ square inches.

Calculate the lateral surface area

The lateral surface area of a cylinder is given by $2\pi rh$. In this case, $r=4$ and $h=12$. Lateral surface area = $2 \times 3.14 \times 4 \times 12 = 301.44$ square inches.

Calculate the total surface area

Total surface area = Area of two circular bases + Lateral surface area Total surface area = $100.48 + 301.44 = 401.92$ square inches.

$\boxed{401.92}$

$\boxed{401.92}$