anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Please tell me how you got to the answer, this kind of material will be in my test tomorrow.. x.x
anonymous
  • anonymous
What kind of can? I assume it is is a Cylinder but...
anonymous
  • anonymous
It just says that, so I would assume it's a cylinder. =P

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

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