- #1
How to Calculate the Angle in a Cone with Given Height and Circumference?
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Homework Help Overview
The problem involves calculating the angle alpha in a cone, given that the height of the cone is one-third of the circumference of its base. The relationship between the height and the radius is central to the discussion.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the relationship between the height and the radius, with some suggesting the use of trigonometry to find the angle alpha. Questions arise regarding the definitions and relationships of the sides of the right triangle formed.
Discussion Status
The discussion is ongoing, with participants exploring different interpretations of the problem. Some have offered guidance on using trigonometric relationships, while others express confusion about the definitions and derivations involved.
Contextual Notes
There appears to be some uncertainty regarding the assumptions made about the radius and the definitions of the sides of the triangle. Additionally, participants note the general nature of the problem and seek clarification on specific terms and formulas.
- #2
armolinasf
- 195
- 0
you do have r, r=r. you have a right triangle with base opposite side equal to r and an adjacent side = 2pi*r/3. apply some trigonometry and you should be able to find alpha
- #3
armolinasf
- 195
- 0
I'm curious about how you're able to get an exact answer to this problem even though it's given in general terms. I hope someone could shed some light on this.
- #4
chawki
- 504
- 0
armolinasf said:
where did that ''adjacent side = 2pi*r/3'' came from
- #5
armolinasf
- 195
- 0
If you make a a right triangle with right angle at the base and angle alpha as the vertex. The side adjacent to angle alpha is the height of the cone which is defined as h=(2*pi*r)/3
- #6
chawki
- 504
- 0
i have to say this is new for me..can you please demostrate how to got it?
also if there is a pre-defined formula for the hypotenuese i would be glad to know it
- #7
chawki
- 504
- 0
chawki said:
OH my lord..i just asked to demostrate that and forgot that it was given
i should go to sleep 
- #8
armolinasf
- 195
- 0
Haha...we've all been there at some point, it'll probably do a world of good to get some sleep
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