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To find the surface area of a cylinder, we need to calculate the sum of the areas of the two bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2Ï€rh + 2Ï€r^2
Given:
r = 5 cm (radius)
h = 15 cm (height)
Plugging in the values into the formula:
Surface Area = 2Ï€(5)(15) + 2Ï€(5^2)
Surface Area = 150Ï€ + 50Ï€
Surface Area = 200Ï€
Using the approximation π = 3.14:
Surface Area ≈ 200(3.14)
Surface Area ≈ 628 square centimeters
Therefore, the surface area of the cylinder is approximately 628 square centimeters.