Question

Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.

Answer 1

Hmm I'm not very certain about this. From my logic, any cylinder is similar to each other, if you get what I'm saying.

Answer 2

Cylinders always have circular bases and tops, and they're connected.

Answer 3

How do IO do similarity ratio?

Answer 4

Oh, now I see. There is a ratio between the heights of above cylinders, and the radius of both cylinders.

Answer 5

Try dividing the lengths by each other, then the radii by each other. You'll see.

Answer 6

heights of both cylinders*

Answer 7

height of small cylinder/height of large cylinder

Do the same for the radii...

Answer 8

Then cross multiply?

Answer 9

No, we're just finding the ratio of the smaller cylinder to the large cylinder. Nothing fancy. Did you find the ratio of the heights yet?

Answer 10

yeah. it would be .625

Answer 11

Good, now find the ratio of the radii between the smaller cylinder and the larger cylinder.

Answer 12

same thing

Answer 13

Good. That means the two cylinders are similar. The small cylinder is 0.625 times smaller than the big cylinder. :)

Answer 14

If the two ratios were different, the two cylinders would not be similar.

Answer 15

It's multiple choice and the answers are.
a. yes; 1:2.6
b. yes; 1:1.6
c. yes; 1:1.4
d. no

Answer 16

Oh, you have to put it like that. If you go back to when you found the two ratios, if you reversed the order of the fraction, you'll see that the large cylinder is 1.6 times bigger than the small cylinder.

Answer 17

Thanks!

Answer 18

So, the ratio will be 1:1.6;
how we originally found it would be 0.625:1

Answer 19

Thanks!