What is the lateral area of a cylinder whose diameter is 4 cm and whose height is three times the radius. Use 3.14 for .
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so whats the answer
You want to find the lateral area of a cylinder. To do that, you will need two things: the width and the height of its rectangular segment.
You're told that the diameter of the cylinder is \(4\), and that its height is three times its radius. The radius of the cylinder is thus \(2\), and its height ends up being \(h=6\).
Now you need to find one thing: the width of the rectangle (you already know the height, which is \(6\)). To do this, you have to use the formula\[w=2\pi r,\]where \(w\) is the width, and \(r\) is the radius. Finally, you multiply \(w\) by \(h\) to obtain your solution.
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