ryuu
The volume of a can is 28.3 cubic inches (in.^3). If the radius and the height of the can are multiplied by a scale factor of 2, what is the volume of the new can?
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ryuu
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Please tell me how you got to the answer, this kind of material will be in my test tomorrow.. x.x
Dido525
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What kind of can? I assume it is is a Cylinder but...
ryuu
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It just says that, so I would assume it's a cylinder. =P
ryuu
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So yeah lol
Dido525
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Well the volume of a cylinder is pi*r^2*h.
Dido525
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When something is multiplied by a factor you replace the ariable by that same factor.
ryuu
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So... replace r with 2, that's all?
Dido525
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And h. Do you understand why?
ryuu
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ahh sorry word problems get me. No I don't.
Dido525
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When you scale something or multiplying by a factor you are basically saying "two times more than the original value" .
Dido525
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Does that make sense?
Dido525
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So when I say I multiply by a factor of 5 I am basically saying "Take your original value and multiply by 5"
ryuu
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Somewhat. So in some case, just guessing, it'd be like half of the original amount given? 28.3? or... x.x; lol I mean I get I have to replace it and why now
Dido525
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Or for instance, when I say I multiply something by a factor of 7 I am saying "Take your original number and replace it by 7 times the original value" .
ryuu
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I got 25.12 just now.
ryuu
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So, basically when multiplying by a factor, you replace the other numbers? in this case the radius and the height?
Dido525
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Yeah. Replace it by whatever factor times that number.
ryuu
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so 25.12 would be wrong i suppose haha.. xD?
ryuu
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Sorry.. I learned this all before, but since it's a new teacher he shows us in a different way, and it's getting me all confused.. :/
Dido525
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Well The volume is directly proportional to the height and the radius squared. So If you increases the radius and height by a certain factor the Volume increases by the same factor.
Dido525
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Does that make sense?
ryuu
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honestly? still kinda lost. :|
Dido525
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Okay. Tell me what you don't understand.
ryuu
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|dw:1359091358356:dw|
ryuu
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2 > r / h lol
Dido525
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No.... :P .
ryuu
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the thing i dont get is.. i get lost after they say the radius and height of the can are multiplied by the factor of 2
ryuu
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blehh xD
ryuu
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and i know 28.3 is the volume of the can
ryuu
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but im confused if ill need to use 28.3 # at all or just work out a certain equation
like you said replace with the other things
in my case i think this:
3.14(2)^2(2)
Dido525
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Yeah you will use the 28.3
Dido525
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Here Maybe a picture will help.
ryuu
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kk
Dido525
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|dw:1359091625314:dw|
ryuu
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oh i see, but.. then what's the radius? o.o
Dido525
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|dw:1359091742557:dw|
Dido525
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That's a badly drawn r XD .
ryuu
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XD! It's okay I understand. And I appreciate the help thanks a lot. i got a test tomorrow.. ><
ryuu
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and that teacher teaching his ways just gets me confused all the time, i mostly teach myself instead xD
Dido525
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Did you understand me though?
ryuu
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somewhat, im confused as to what happened to r and pi though xD
ryuu
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and why group in the replaced 2 with the r if you'll be replacing it?
Dido525
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The pi is still there. I replaced the radius with 2r because we are multiplying the radius by a factor of 2.
ryuu
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so pretty much just leave the r alone, and just leave it aside and continue the problem?
ryuu
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as well as with pi? and just multiply the new factors 8 and 28.3
ryuu
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right?
Dido525
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No... :P . Rather replace the r by 2r because we are multiplying the r by a factor of 2 and then square the resultant.
ryuu
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oh i see. ok, but that doesn't explain why pi is practically gone lol
Dido525
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No no. The pi is there. We can't multiply pi by a factor because pi is a fixed, constant number.
ryuu
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ohh okay.
Dido525
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Does that make sense?
ryuu
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yes. thank you. xD
ryuu
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sorry if i got you frustrated haha.. =X
Dido525
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Nope :) .
ryuu
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:D
ryuu
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can ya help me with another one? similar stuff just finding the area of complex and irregular figures
Dido525
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Erm... Maybe.
ryuu
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dont gotta lol just asking if you can or want to.
Dido525
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No I mean, I might not be able to solve it.
Dido525
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But go ahead.
ryuu
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Oh , kk, uhm it's just algebra all the same. here it goes.
A rectangular mirror is 24 inches by 48inches. The frame around the mirror is 3inches. wide. Find the area of the mirror including the frame.
ryuu
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I multiplied 24 and 48 and got 1,152 but that would just be the mirror's area. I also need the frames
Dido525
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Did you draw a picture?
ryuu
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Mhm. I shaded the frame to make it look differently. But i also tried multiplying all numbers and it doesn't add up
ryuu
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and i get a bit confused sometimes with this book with the problems cause sometimes they're 3 dimensional lol
ryuu
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and i mix up as to where to put the numbers on what side or what not
ryuu
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idk if im just messing myself up honestly haha
Dido525
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What's the answer?
ryuu
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like i said i got 1152 lol
Dido525
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I think it's 1,620 inches ^2 .
ryuu
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dunno what i missed
Dido525
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Here look at this picture.
Dido525
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|dw:1359093139215:dw|
Dido525
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|dw:1359093195504:dw|
ryuu
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So you're sharing all 3s down the middle? and breaking em down? to add 6 to both 24 and 48?
Dido525
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yeah because we are given the frame is 3 inches wide right? So it's 3 inches wide everywhere. Does that make sense?
ryuu
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yes it does thank you very much, once again. :)
Dido525
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Welcome!
ryuu
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time to finish hw, bye, take care and i fan'd ya. :P