Question

If the radius and height of a cylinder are multiplied by 10, the lateral area of the cylinder is multiplied by 10. ?

Answer 1

What is the equation for a cylinder's lateral area?

Answer 2

If we took that formula and substituted \(r=10r\) and \(h=10h\), you should see how it affects the lateral area.

Answer 3

okay thx

Answer 4

You're welcome. :)
\( L_1 = 2 \pi r h \) is the formula, 10r and 10h substituted in yields:
\(\begin{align}
L_2 &= 2\pi (10r)(10h) \\
&= 2 \pi rh \times (10*10) \\
&= L_1 * 100
\end{align} \)