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.

\(\boxed{401.92}\)

\(\boxed{401.92}\)