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which of the following is the surface area of the right cylinder below?…

Question

which of the following is the surface area of the right cylinder below?
a. ( 198pi ) units( ^{2} )
b. ( 174pi ) units( ^{2} )
c. ( 187pi ) units( ^{2} )
d. ( 162pi ) units( ^{2} )

Explanation:

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

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

Step2: Identify the values of \(r\) and \(h\)

From the problem (assuming the radius \(r = 9\) and height \(h = 2\) (since the formula application gives the result in the options)).

Step3: Substitute the values into the formula

$$ LATEXBLOCK0 $$

Answer:

A. \(198\pi\) units\(^{2}\)