Question

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?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

So yeah lol

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

And h. Do you understand why?

Answer 9

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

Answer 10

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

Answer 11

Does that make sense?

Answer 12

So when I say I multiply by a factor of 5 I am basically saying "Take your original value and multiply by 5"

Answer 13

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

Answer 14

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" .

Answer 15

I got 25.12 just now.

Answer 16

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

Answer 17

Yeah. Replace it by whatever factor times that number.

Answer 18

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

Answer 19

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.. :/

Answer 20

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.

Answer 21

Does that make sense?

Answer 22

honestly? still kinda lost. :|

Answer 23

Okay. Tell me what you don't understand.