Question

the base of a cylinder has a radius of 9 centimeters. the cylinder is 12 centimeters tall. what is the approximate lateral area of the cylinder? use 3.14 for \\(\pi\\) and round to the nearest whole number. \\(\bigcirc\\) 108 \\(\text{cm}^2\\) \\(\bigcirc\\) 339 \\(\text{cm}^2\\) \\(\bigcirc\\) 678 \\(\text{cm}^2\\) \\(\bigcirc\\) 972 \\(\text{cm}^2\\)

Explanation:

Step1: Recall the formula for lateral area of a cylinder

The formula for the lateral area \(A\) of a cylinder is \(A = 2\pi rh\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 9\) cm and \(h=12\) cm, and \(\pi = 3.14\).

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Step3: Calculate the value

\(A = 678.24\)

Answer:

\(678\mathrm{cm}^2\) (corresponding to the third option)