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Waitman Gobble
Mon, 22 Apr 2024 05:46:45 -0400
Not sure the "quality" will improve?
"We've shifted the responsibility of extracting relevant context for software engineering tasks from developers to the AI agents": Microsoft's AI-based framework turns developers to overnight 'mere supervisors'
Generative AI claims more jobs, rendering well-versed professionals into supervisors.
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Waitman Gobble
Mon, 22 Apr 2024 05:56:31 -0400
For sure it can't figure out how to make a simple cone.
What are the calculations required to create a cone out of .125" thick flat aluminum sheet that is 24" tall and has a top diameter of 7.25" and a bottom diameter of 18.625"
To create a cone out of a flat aluminum sheet with a thickness of 0.125", you'll need to calculate the following:
1.
Slant Height (l):
The slant height is the distance from the tip of the cone to any point on its base. It can be calculated using the Pythagorean theorem with the radius of the cone's base and its height.
\( l = \sqrt{r^2 + h^2} \)
2.
Surface Area (A):
The surface area of the cone can be calculated using the formula:
\( A = \pi r (r + l) \)
3.
Material Required:
The amount of flat aluminum sheet required to make the cone can be calculated by finding the area of the flat sheet that needs to be cut and rolled into a cone.
Given:
Top diameter (d₁) = 7.25"
Bottom diameter (d₂) = 18.625"
Height (h) = 24"
Thickness of aluminum sheet (t) = 0.125"
First, you need to find the radius of the top and bottom of the cone:
Top radius (r₁) = d₁ / 2
Bottom radius (r₂) = d₂ / 2
Then, calculate the slant height (l) using the height and radius:
Slant Height (l) = sqrt((r₂ - r₁)^2 + h^2)
Next, calculate the surface area (A) using the radius and slant height:
Surface Area (A) = π
((r₁ + r₂)
l)
To find the amount of flat aluminum sheet required, you'll need to find the area of the flat sheet needed to form the lateral surface of the cone. This can be calculated by finding the circumference of the base (using the bottom diameter) and multiplying it by the height of the cone, then adding the area of the circular base. Finally, adjust for the thickness of the aluminum sheet.
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Waitman Gobble
Mon, 22 Apr 2024 06:46:19 -0400
But it could be me not asking the question "correctly" lol. Basically you take off 1 material thickness from top and bottom diameter, figure the angle (1/2 the cone) to get hypotenuse A and B which make the radius in the "flat", the figure the circumference of the top diameter and bottom diameter this gives you the arc lengths A and B in the flat. Using that you can figure out the 4 "corners" if you are CAM or the included angle if you are laying it out manually. Anyway i had to make cones when i was a teenager so i had to figure it out myself. My HS Geometry teacher was worthless at helping :). I think his answer was like chatgtp's answer which doesn't solve problem, but attempts to give a "quantity required" like it will be liquid poured out of a measuring cup.
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