5. The expression for the surface area of a cylinder is shown below. Which of the following is the circumference of the circular bases of the cylinder? \( S A=2 \pi(3)^{2}+2 \pi(3)(8) \) \( 36 \pi \) \( 48 \pi \) \( 6 \pi \) \( 12 \pi \)

The surface area formula you provided can be broken down into two parts: \(2 \pi r^2\) for the top and bottom circular bases, and \(2 \pi rh\) for the curved surface area. Here, the radius \(r\) is \(3\) and the height \(h\) is \(8\). The circumference of a circular base can be calculated using the formula \(C = 2 \pi r\). So plugging in \(r = 3\), we get \(C = 2 \pi (3) = 6 \pi\). The options you provided are all multiples of \(\pi\), and understanding the different areas represented in geometry can get a bit confusing. It's like a pizza: the circumference represents the crust, while the surface area represents the entire pizza, including the toppings! So, just remember—when it comes to circles, the circumference is all about that round edge!