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 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
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Solution

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What is the surface area of this cylinder? Use π3.14\pi \approx 3.14 and round your answer to the nearest hundredth.

Find the radius

The radius is half the diameter, so r=82=4r = \frac{8}{2} = 4 inches.

Calculate the area of the two circular bases

The area of one circular base is πr2=3.14×42=3.14×16=50.24\pi r^2 = 3.14 \times 4^2 = 3.14 \times 16 = 50.24 square inches. The area of two circular bases is 2×50.24=100.482 \times 50.24 = 100.48 square inches.

Calculate the lateral surface area

The lateral surface area of a cylinder is given by 2πrh2\pi rh. In this case, r=4r=4 and h=12h=12. Lateral surface area = 2×3.14×4×12=301.442 \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=401.92100.48 + 301.44 = 401.92 square inches.

401.92\boxed{401.92}

401.92\boxed{401.92}

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