Question

The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth. (picture below, medal will be given and i just need someone to help me walk through the equation of this problem and solve it. )

Answer 1

Okay. Do you know how to get the diameter of the smaller cylinder?

Answer 2

no

Answer 3

You can use the principle of similar triangles. Since both cylinders are similar, this means that each dimension of both cylinders are similar... So basically, the proportion of the two cylinders are the same.

What I mean is this;

(Diameter of big cylinder/height of big cylinder) = (Diameter of smaller cylinder/height of smaller cylinder)

You will have only one unknown which is the diameter of the smaller cylinder. Solve to find it.

Answer 4

The ratio of these two dimensions must be the same since the cylinders are the same. So what do you get as the diameter of the smaller cylinder?

Answer 5

6 as the diameter :) did i get it right?

Answer 6

Yes. I see that you already have all the formulas to calculate the area of the small cylinder. Lemme know what you get :)

Answer 7

okay will do thanks for your help here's your medal :D

Answer 8

Thanks :P But I think you should give medals if you find my answer really useful rather :P Cheers ^^

Answer 9

^-^ you were very helpful though i didn't get my answer until you reminded me about cross multiplying :) so you disurved it

Answer 10

Thanks :P Anyway, you understand how to use the equations to get the area?