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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
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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
What kind of can? I assume it is is a Cylinder but...
It just says that, so I would assume it's a cylinder. =P

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Other answers:

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

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