Question

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

$s = 2\pi(8)^2 + 2\pi(12)(8)$

$s = 2(6)^2 + 2(6)(8)\pi$

$s = 2\pi(12)^2 + 2\pi(12)(8)$

$s = 2\pi(6)^2 + 2\pi(6)(8)$

Explanation:

Step1: Recall the surface area formula for a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 6\) cm and \(h = 8\) cm. Substituting these values into the formula \(S = 2\pi r^{2}+2\pi rh\), we get \(S=2\pi(6)^{2}+2\pi(6)(8)\).

Answer:

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