If the radius and height of a cylinder are multiplied by 4, the lateral area of the cylinder is multiplied by

2.
4.
8.
16.

Question

If the radius and height of a cylinder are multiplied by 4, the lateral area of the cylinder is multiplied by
 	
	2.
	4.
	8.
	16.

zepdrix · Answer

The `Lateral Area of a Cylinder` is given by,
$\large A=2\pi r h$

They're asking us:
If we replace $\large \color{orangered}{r}$ with $\large \color{orangered}{4r}$,
and $\large \color{green}{h}$ with $\large \color{green}{4h}$,
What happens to $\large A$?

$\large A=2\pi\color{orangered}{r}\color{green}{h} \qquad \rightarrow \qquad A=2\pi\color{orangered}{(4r)}\color{green}{(4h)}$

What is the difference between our first A and our second one? :)