Question

select the correct answer.
a company fabricates cast concrete cylindrical columns for a new pavilion. the columns are 3 meters tall and have a radius of 0.6 meters. what is
the approximate surface area of a single column?
a. 11.31 m²
b. 5.65 m²
c. 13.57 m²
d. 6.78 m²

Explanation:

Step1: Recall the formula for the surface area of a cylinder

The formula for the surface area of a cylinder is \(S = 2\pi r(r + h)\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 0.6\) meters and \(h = 3\) meters.

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Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \(S\approx4.32\times3.14 = 13.5648\approx13.57\)

Answer:

C. \(13.57m^{2}\)