A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Th scale factor of two similar cylinders is 3:4. What is the ratios of the areas in simplest form?
anonymous
 4 years ago
Th scale factor of two similar cylinders is 3:4. What is the ratios of the areas in simplest form?

This Question is Closed

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1If the scale factor of two similar solids is a:b, then the ratio of their areas is a^2: b^2 In this case the scale factor of these are 3:4. Therefore the ratio of areas are 3^2: 4^2

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1Therefore, if the scale factor of two similar cylinders is 3:4, then the ratio of their areas is 9:16

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[ 2\pi (3r)^2 + 2\pi (3r) (3h) : 2\pi (4r)^2 + 2\pi (4r) (4h)\] \[ 9 r^2 + 9rh : 16r^2 + 16rh\] \[ 9 (r^2 + rh) : 16(r^2 + rh)\] \[ 9 : 16\]

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1Can you create a general formula for that approach?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the general formula is dependant on the formula of the shape your dealing with for cylinder: A=2πr 2 +2πrh Sub each scale factor ratio into the equation (ie r > (3r), h>(3h)), set as a ratio and reduce where you can. cylinder worked out nice. Is that kinda what you were after>
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.