Question

Totally stomped.. Explain??

Two similar cylinders are shown in the image below.
If the smaller cylinder has a lateral area of approximately 113 square meters, what is the approximate lateral area of the larger cylinder?

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0805_07/image0014e848874.gif

Answer 1

do you know what the lateral area is?

Answer 2

\[LA=(2)\pi(r)(h)\]

If I insert what I know I get \[113=(2)\pi(r)(9)\]

Answer 3

ok, lateral area is the area of the curved part on the cylinder,
since you have the equation, you can find the radius for the smaller cylinder

because the cylinders are similar, that means that the two cylinders are proportional to each other

so find the radius of the larger cylinder using a proportion, and then use your equation

Answer 4

another way to solve these is look at ratio of the lateral areas
ratio of Area = (ratio of height)^2
\[\frac{A}{113} = (\frac{21}{9})^{2}\]
solve for A

Answer 5

A=615.2 ??

Answer 6

Thanks both of you I got the same answer both ways. I just got the answer faster by using dumbcows response. (: