anonymous
  • anonymous
a right circular cylinder, radius of base x,height y, is inscribed in a right circular cone,radius of base r and height h. express y as function of x (r and h are constants)
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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goformit100
  • goformit100
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goformit100
  • goformit100
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goformit100
  • goformit100
@hartnn Help am I correct ?

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hartnn
  • hartnn
where's the cone ?
goformit100
  • goformit100
read cylinder in the question
goformit100
  • goformit100
oops
goformit100
  • goformit100
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hartnn
  • hartnn
|dw:1371290521682:dw|
goformit100
  • goformit100
OOps I am sorry again
goformit100
  • goformit100
Sorry @nhorzkie
anonymous
  • anonymous
its ok
dan815
  • dan815
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dan815
  • dan815
similar triangles
dan815
  • dan815
if u cut a plane right in the middle and examine this cross section
dan815
  • dan815
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dan815
  • dan815
|dw:1371291124276:dw|
dan815
  • dan815
|dw:1371291164842:dw|
dan815
  • dan815
now all you need to do is write Y as a function of x
dan815
  • dan815
sorry this is is wrong division
dan815
  • dan815
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dan815
  • dan815
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anonymous
  • anonymous
thanks :)
dan815
  • dan815
thhankks :D
dan815
  • dan815
use open study more ill cya later
dan815
  • dan815
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dan815
  • dan815
can u see that no matter what the shape that will show up on that plane is always a Triangle and a square in the middle
dan815
  • dan815
say i rotate that plane around the z* axis
dan815
  • dan815
|dw:1371292586593:dw|
dan815
  • dan815
so what we want to do is, look at that eye level shape you see only
dan815
  • dan815
|dw:1371292715338:dw|
dan815
  • dan815
|dw:1371292787737:dw|
dan815
  • dan815
then u will see a square
dan815
  • dan815
|dw:1371292828352:dw|
anonymous
  • anonymous
haha yah, cute little person.
dan815
  • dan815
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dan815
  • dan815
if the person was standing on the x axis he will see this
dan815
  • dan815
|dw:1371292934917:dw|
dan815
  • dan815
similariliy he will see the cone as a triangle
dan815
  • dan815
|dw:1371292963659:dw|
dan815
  • dan815
but this doesnt hamper our relationship of the radius and height
dan815
  • dan815
these are equal in dboth diagrams, except the radius of the circle just looks like the length of the square and the hieght of the cone and cylinder is the hieght of square and triangle
dan815
  • dan815
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dan815
  • dan815
triangle ABC is similar to EDC because they have equal angles
dan815
  • dan815
a 90 degree angle angle C which is common in both triangles and obviously that means 180-c-90 = same angle for A and E
dan815
  • dan815
now that we have proven these are also similar triangles we can write the proportion of the smaller triangle sides = the proportion of the bigger triangle sides
dan815
  • dan815
if you are still following... all this then id be amazed.. its hard to teach on here, we can only really help u solve thing and help you see a little better but teaching concepts not that easy
anonymous
  • anonymous
yes im still following and your a big help now i understand! really thanks! :)
dan815
  • dan815
okay then all thats left is to fill in the information you know and write that proportion equation
dan815
  • dan815
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dan815
  • dan815
okay so we know triangle ABC~ ECD so CB/BA = CD/DE
dan815
  • dan815
CB= R,BA=h,CD=R-x,DE=y CB/BA=CD/DE becomes R/h=(R-x)/y solve for y y=h(R-x)/R
dan815
  • dan815
h and r are just some random constant so now u have y = f(x) some function of x
anonymous
  • anonymous
one more thing, whats the meaning of "r,h are constant?"
dan815
  • dan815
they are not given.. they can be any number, given those numbers your cone and cylinder will look differently
dan815
  • dan815
basically you solved the formula right now so when they give you a value for r and h you can just plug it into the formula and you quickly know how y is changing as function of x
anonymous
  • anonymous
Done ! :) hopefully next time i post. you're online thanks.
dan815
  • dan815
u dont need me to solve lol
anonymous
  • anonymous
hahaha ok I continue my homework. Godbless.
dan815
  • dan815
u 2!

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