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Geometry 19 Online
OpenStudy (gabylovesyou):

@ganeshie8

OpenStudy (gabylovesyou):

Diagonal cross section of a cylinder A) triangle Cross section parallel to the base of a cone B) great circle Shape created when a semi–circle is rotated about the y–axis C) circle Diagonal cross section through the widest part of a sphere D) sphere Perpendicular cross section of a cone E) ellipse

OpenStudy (gabylovesyou):

i have to match them with the correct letter....

OpenStudy (goformit100):

Show your working

OpenStudy (gabylovesyou):

the first one is C ?

ganeshie8 (ganeshie8):

i don't think so, it looks a bit complex... may be lets work others first

ganeshie8 (ganeshie8):

Cross section parallel to the base of a cone : https://share.ehs.uen.org/sites/default/files/images/unit10l1.1_image2.img_assist_custom.png

ganeshie8 (ganeshie8):

that should be easy to figure out ^

OpenStudy (gabylovesyou):

wait is is the figure in the middle ? so it would be circle ?

ganeshie8 (ganeshie8):

Yep

OpenStudy (nincompoop):

|dw:1403367751702:dw|

OpenStudy (nincompoop):

CYLINDERS ONLY PRODUCE CIRCLE-LIKE SHAPE WHEN CUT STRAIGHT IN ANY ORIENTATION

OpenStudy (nincompoop):

actually no lol

OpenStudy (nincompoop):

not in horizontal orientation

ganeshie8 (ganeshie8):

yes we can even get lines and triangles

OpenStudy (gabylovesyou):

ok..... what about the 3rd one ?

ganeshie8 (ganeshie8):

depends on the orientation

OpenStudy (gabylovesyou):

the last one is triangle ?

OpenStudy (gabylovesyou):

what is great circle o.o

ganeshie8 (ganeshie8):

its supposed to look like a sphere..

ganeshie8 (ganeshie8):

Imagine you spin that semicircle about that horizontal axis

ganeshie8 (ganeshie8):

it will sweep a 3D spherical region

OpenStudy (gabylovesyou):

soo D ?

ganeshie8 (ganeshie8):

yes

ganeshie8 (ganeshie8):

and you're right about the last one - Perpendicular cross section of a cone is a `triangle`

OpenStudy (gabylovesyou):

ok yay

ganeshie8 (ganeshie8):

are we like almost done ?

OpenStudy (gabylovesyou):

we still need the first, and the 4th

ganeshie8 (ganeshie8):

whats your best guess

OpenStudy (gabylovesyou):

think the 4th is ellipse ?

ganeshie8 (ganeshie8):

okay, lets look at cylinder thing first : http://mathworld.wolfram.com/images/eps-gif/CylindricalSectionSchem_701.gif

OpenStudy (gabylovesyou):

whats ellipse ? rofl

ganeshie8 (ganeshie8):

Yes ! diagonal cross section of cylinder has to be an ellipse

OpenStudy (gabylovesyou):

which leaves the other to be great circle.. perff thanks :D

ganeshie8 (ganeshie8):

np :)

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