Question

what is the surface area of this cylinder?
round your answer to the nearest hundredth.
13.3 cm
18.4 cm
square centimeters

Explanation:

Step1: Identify radius and height

Radius $r = \frac{13.3}{2} = 6.65$ cm, height $h = 18.4$ cm

Step2: Calculate base area

Base area: $2\pi r^2 = 2 \times \pi \times (6.65)^2$
$= 2 \times \pi \times 44.2225 ≈ 277.83$ cm²

Step3: Calculate lateral surface area

Lateral area: $2\pi r h = 2 \times \pi \times 6.65 \times 18.4$
$= 2 \times \pi \times 122.36 ≈ 768.85$ cm²

Step4: Total surface area

Total = base area + lateral area ≈ $277.83 + 768.85 = 1046.68$ cm²

Answer:

1046.68