Question

pre-algebra ic sem 2 fall 2025
two- and three-dimensional
geometry

which equation can be used to find the surface area of the cylinder?

Explanation:

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

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

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

Given \(r = 6\) cm and \(h=8\) cm.

Step3: Substitute \(r = 6\) and \(h = 8\) into the formula

Substitute into \(S = 2\pi r^{2}+2\pi rh\), we get \(S=2\pi(6)^{2}+2\pi(6)(8)\)

Answer:

\(S = 2\pi(6)^{2}+2\pi(6)(8)\)