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?

- anonymous

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- anonymous

Please tell me how you got to the answer, this kind of material will be in my test tomorrow.. x.x

- anonymous

What kind of can? I assume it is is a Cylinder but...

- anonymous

It just says that, so I would assume it's a cylinder. =P

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- anonymous

So yeah lol

- anonymous

Well the volume of a cylinder is pi*r^2*h.

- anonymous

When something is multiplied by a factor you replace the ariable by that same factor.

- anonymous

So... replace r with 2, that's all?

- anonymous

And h. Do you understand why?

- anonymous

ahh sorry word problems get me. No I don't.

- anonymous

When you scale something or multiplying by a factor you are basically saying "two times more than the original value" .

- anonymous

Does that make sense?

- 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

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

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

I got 25.12 just now.

- anonymous

So, basically when multiplying by a factor, you replace the other numbers? in this case the radius and the height?

- anonymous

Yeah. Replace it by whatever factor times that number.

- anonymous

so 25.12 would be wrong i suppose haha.. xD?

- 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

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

Does that make sense?

- anonymous

honestly? still kinda lost. :|

- anonymous

Okay. Tell me what you don't understand.

- anonymous

|dw:1359091358356:dw|

- anonymous

2 > r / h lol

- anonymous

No.... :P .

- 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

blehh xD

- anonymous

and i know 28.3 is the volume of the can

- 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

Yeah you will use the 28.3

- anonymous

Here Maybe a picture will help.

- anonymous

kk

- anonymous

|dw:1359091625314:dw|

- anonymous

oh i see, but.. then what's the radius? o.o

- anonymous

|dw:1359091742557:dw|

- anonymous

That's a badly drawn r XD .

- anonymous

XD! It's okay I understand. And I appreciate the help thanks a lot. i got a test tomorrow.. ><

- anonymous

and that teacher teaching his ways just gets me confused all the time, i mostly teach myself instead xD

- anonymous

Did you understand me though?

- anonymous

somewhat, im confused as to what happened to r and pi though xD

- anonymous

and why group in the replaced 2 with the r if you'll be replacing it?

- anonymous

The pi is still there. I replaced the radius with 2r because we are multiplying the radius by a factor of 2.

- anonymous

so pretty much just leave the r alone, and just leave it aside and continue the problem?

- anonymous

as well as with pi? and just multiply the new factors 8 and 28.3

- anonymous

right?

- 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

oh i see. ok, but that doesn't explain why pi is practically gone lol

- anonymous

No no. The pi is there. We can't multiply pi by a factor because pi is a fixed, constant number.

- anonymous

ohh okay.

- anonymous

Does that make sense?

- anonymous

yes. thank you. xD

- anonymous

sorry if i got you frustrated haha.. =X

- anonymous

Nope :) .

- anonymous

:D

- anonymous

can ya help me with another one? similar stuff just finding the area of complex and irregular figures

- anonymous

Erm... Maybe.

- anonymous

dont gotta lol just asking if you can or want to.

- anonymous

No I mean, I might not be able to solve it.

- anonymous

But go ahead.

- 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

I multiplied 24 and 48 and got 1,152 but that would just be the mirror's area. I also need the frames

- anonymous

Did you draw a picture?

- 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

and i get a bit confused sometimes with this book with the problems cause sometimes they're 3 dimensional lol

- anonymous

and i mix up as to where to put the numbers on what side or what not

- anonymous

idk if im just messing myself up honestly haha

- anonymous

What's the answer?

- anonymous

like i said i got 1152 lol

- anonymous

I think it's 1,620 inches ^2 .

- anonymous

dunno what i missed

- anonymous

Here look at this picture.

- anonymous

|dw:1359093139215:dw|

- anonymous

|dw:1359093195504:dw|

- anonymous

So you're sharing all 3s down the middle? and breaking em down? to add 6 to both 24 and 48?

- 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

yes it does thank you very much, once again. :)

- anonymous

Welcome!

- anonymous

time to finish hw, bye, take care and i fan'd ya. :P

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