Formula for making a cone
#1
Senior Member
Thread Starter
My Feedback: (12)
Join Date: Dec 2001
Location: Pampa, TX
Posts: 5,133
Likes: 0
Received 0 Likes
on
0 Posts
Formula for making a cone
Can somebody point me in the right direction??
I need the formula to determine the angle of the circle sector to be removed from a circle to make a cone of a certain height.
That is to say, if you have a circle and remove a pizza-slice-shaped sector, then join the edges back together, you will get a cone.
I know the diameter of the base of the finished cone, and the height of the finished cone I wish to construct. What I need is the formula to determine the central angle of the circle sector that will need to be removed to make the circle become a cone.
I tried breaking the cone into a right triangle, solving for the hypotenuse, and using this as the radius of the circle I start with. Then using the ratio of the diameter of the circle to the diameter of the base of the cone to come up with the central angle of the sector to be removed (result of the ratio X 360 to get degrees, then subtracted from 360 to get the resulting central angle)
I'm doing something wrong, somewhere...
I need the formula to determine the angle of the circle sector to be removed from a circle to make a cone of a certain height.
That is to say, if you have a circle and remove a pizza-slice-shaped sector, then join the edges back together, you will get a cone.
I know the diameter of the base of the finished cone, and the height of the finished cone I wish to construct. What I need is the formula to determine the central angle of the circle sector that will need to be removed to make the circle become a cone.
I tried breaking the cone into a right triangle, solving for the hypotenuse, and using this as the radius of the circle I start with. Then using the ratio of the diameter of the circle to the diameter of the base of the cone to come up with the central angle of the sector to be removed (result of the ratio X 360 to get degrees, then subtracted from 360 to get the resulting central angle)
I'm doing something wrong, somewhere...
#3
Senior Member
Thread Starter
My Feedback: (12)
Join Date: Dec 2001
Location: Pampa, TX
Posts: 5,133
Likes: 0
Received 0 Likes
on
0 Posts
RE: Formula for making a cone
Thanks,
I think I have figured it out, I need to make my final ratio the circumferences of the circle and the base of the cone, but I'd sure take a spreadsheet!
I think I have figured it out, I need to make my final ratio the circumferences of the circle and the base of the cone, but I'd sure take a spreadsheet!
#7
Senior Member
RE: Formula for making a cone
From a previous discussion here:
http://www.rcuniverse.com/forum/Desi...1801795/tm.htm
http://www.rcuniverse.com/forum/Desi...1801795/tm.htm
#9
Senior Member
Thread Starter
My Feedback: (12)
Join Date: Dec 2001
Location: Pampa, TX
Posts: 5,133
Likes: 0
Received 0 Likes
on
0 Posts
RE: Formula for making a cone
Well Ed, your spreadsheet worked like a charm (looks like we might build similar things..) And it actually confirmed my calculations (the ratio of the circumferences is the same as the ratio of the radii..duh) so I was doing it right.
I built a scale model based on my original calculations, and it was spot on. Something else was causing the problem, but now at least I have a second opinion to back me up.
And I went ahead and downloaded the cone program Tall Paul pointed to that DickeyBird found. I'll play with that, too!!
Thanks, guys. I really appreciate this help.
I built a scale model based on my original calculations, and it was spot on. Something else was causing the problem, but now at least I have a second opinion to back me up.
And I went ahead and downloaded the cone program Tall Paul pointed to that DickeyBird found. I'll play with that, too!!
Thanks, guys. I really appreciate this help.
#10
Senior Member
Join Date: Apr 2002
Location: Collierville,
TN
Posts: 2,749
Likes: 0
Received 0 Likes
on
0 Posts
RE: Formula for making a cone
ORIGINAL: ChuckAuger
And I went ahead and downloaded the cone program...
And I went ahead and downloaded the cone program...