Questions: What is the surface area of this cylinder?
Use π ≈ 3.14 and round your answer to the nearest hundredth.
square inches
Transcript text: What is the surface area of this cylinder?
Use $\pi \approx 3.14$ and round your answer to the nearest hundredth.
$\square$ square inches
Solution
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.