Question

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

Explanation:

Step1: Identify radius and height

Radius $r = 2$ cm, height $h = 5$ cm

Step2: Calculate area of two circles

$2\pi r^2 = 2 \times \pi \times 2^2 = 8\pi$

Step3: Calculate lateral surface area

$2\pi r h = 2 \times \pi \times 2 \times 5 = 20\pi$

Step4: Sum total surface area

$8\pi + 20\pi = 28\pi \approx 28 \times 3.1416 = 87.9648$

Step5: Round to nearest hundredth

$87.96$

Answer:

87.96