Question

the following formula gives the total surface area s of a cylinder with radius r and height h.
s = 2πr(r + h)
find the total surface area of a cylinder with radius 8 and height 4.
select the correct answer below:
96π
182π
184π
192π
188π
196π

Explanation:

Step1: Substitute the values of \(r\) and \(h\) into the formula

Given \(r = 8\) and \(h=4\), substitute into \(S = 2\pi r(r + h)\).
So \(S=2\pi\times8\times(8 + 4)\).

Step2: Simplify the expression inside the parentheses

First, calculate \(8 + 4=12\). Then the formula becomes \(S = 2\pi\times8\times12\).

Step3: Calculate the product of the non - \(\pi\) terms

\(2\times8\times12=192\).

Answer:

\(192\pi\)