Question

what is the surface area of this cylinder? round your answer to the nearest hundredth. 18 cm 6 cm square centimeters submit

Explanation:

Step1: Recall surface area formula

The total surface area of a cylinder is $SA = 2\pi r^2 + 2\pi rh$, where $r$ is radius, $h$ is height.

Step2: Identify given values

Radius $r = 18$ cm, height $h = 6$ cm.

Step3: Calculate area of two bases

$2\pi r^2 = 2\pi (18)^2 = 2\pi(324) = 648\pi$

Step4: Calculate lateral surface area

$2\pi rh = 2\pi(18)(6) = 216\pi$

Step5: Sum the areas and compute

$SA = 648\pi + 216\pi = 864\pi$
Calculate the numerical value: $864 \times 3.14159265 \approx 2714.34$

Answer:

2714.34 square centimeters