Question

what is the surface area of this cylinder? round your answer to the nearest hundredth. 4.5 cm 15.5 cm square centimeters

Explanation:

Step1: Identify radius and height

Radius $r = 4.5$ cm, height $h = 15.5$ cm

Step2: Calculate area of two circles

$2\pi r^2 = 2 \times \pi \times (4.5)^2 = 2 \times \pi \times 20.25 = 40.5\pi$

Step3: Calculate lateral surface area

$2\pi r h = 2 \times \pi \times 4.5 \times 15.5 = 139.5\pi$

Step4: Sum to get total surface area

Total surface area = $40.5\pi + 139.5\pi = 180\pi$

Step5: Compute numerical value

$180 \times 3.1416 \approx 565.49$

Answer:

565.49