Question

find the surface area of the cylinder. sa = ?π m²

Explanation:

Step1: Calculate the area of the two circular bases

The formula for the area of a circle is \(A = \pi r^{2}\). Given \(r = 8m\), the area of one base is \(\pi\times8^{2}=64\pi\). The area of two bases is \(2\times64\pi = 128\pi\).

Step2: Calculate the lateral surface area

The formula for the lateral surface area of a cylinder is \(A=2\pi rh\). Here \(r = 8m\) and \(h = 18m\), so \(2\pi\times8\times18=288\pi\).

Step3: Calculate the total surface area

The total surface area \(SA\) of a cylinder is the sum of the areas of the two bases and the lateral surface area. So \(SA=128\pi + 288\pi\).

Answer:

\(416\pi\)