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I think it's a elliptic paraboloid but I am not sure...

Just looking at the cross sections.

its either one of the bottom two graphs, i know that

I think it's the bottom left one.

But I am not sure :/ .

yea same here

What the heck is that shape even called? >.>

\[x^2+z^2 = sphere\]

my bad

Really? Isn't x^2+y^2+z^2= r a sphere?

you need y^2 for sphere

Yeah :P .

would it just be a cylinder

No. The cross sections are parabolas so there is no way it's a cylinder.

no just a circle

\[x^2+z^2 = 7\]
is a circle :)

I know but... ;_; ... I thought the cross sections would be parabolas :/ .

the hare lost the race :P

which is again why i am not sure if it is the bottom left or the bottom right

K, so it the the bottom right apparantly : / .

Not sure why though.

Because it's not like with translate the circle.

i guess since its missing the \(y^2\)

why oh why?

why not two parabolas?

you mean a hyperbola? lol

It cannot be a hyperbola. No subtraction term appears.

exactly :)

hey wouldnt it have to be x^2+y^2=7 to be parabolic?
i think thats why its a cylinder

Well if I take z=0 then we get x^2=7 which is a parabola.

well x^2+y^2=7 is a circle.

nawwww… even if you drew just a 2-D circle, in microscopic view it is still "cylindrical" in shape

nincompoop get your wise self outta here :P

Well I DO AGREE it is indeed a circle about the x-z axis but how does that make it a cylinder? :/ .

check wolfram.com

nice copy-pasting, dude! :D

https://www.wolframalpha.com/input/?i=cylindrical+coordinates&lk=4&num=2

jk jk...yea wolfram does say that it is a circle

the cylinders that we know are just blown-up circles

What a stupid definition...

oh there's the definition lol

I don't like all these coordinate systems :/ .

they are useful

I don't see how... Just stick to rectangular coordinates :/ .

Thanks guys for all the help :) .

you mean just 2-D? awwww do you prefer them pixelated too? L M A O :P

:( .

don't be sad… the knowledge you will acquire is transferrable to different physical sciences.

As long as it's applicable to engineering...

you bet