Question

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 3 and height 4.
select the correct answer below:
○ 56π
○ 46π
○ 34π
○ 44π
○ 40π
○ 42π

Explanation:

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

Given \(r = 3\) and \(h=4\), substitute into \(S = 2\pi r(r + h)\). So \(S=2\pi\times3\times(3 + 4)\).

Step2: Simplify the expression inside the parentheses

First, calculate \(3+4\). \(3 + 4=7\). Then the formula becomes \(S = 2\pi\times3\times7\).

Step3: Multiply the numbers

\(2\times3\times7=42\). So \(S = 42\pi\).

Answer:

\(42\pi\)