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현재 위치

Development figureof a truncated cone (by height and radius of the circle)

작성자 Uploader : goodday 작성일 Upload Date: 2018-09-18변경일 Update Date: 2018-09-19조회수 View : 365

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For a truncated cone (frustum of a cone) having its bottom circle radius R, top circle radius r and height h, its development figure can be drawn as follows:

- Input Data

Slope length of the truncated cone, hs, is obtained by the Pythagorean Theorem.

In the development figure, the circumferences of the top and bottom circles are as below.

Cr = 2πr = 2πL*θ/360 → r = L*θ/360
CR = 2πR = 2π(L+hs)*θ/360 → R = (L+hs)*θ/360

Rearranging,

θ = 360r/L = 360R/(L+hs)

thus, r/L = R/(L+hs)

Then, we get L and θ.

The central angle θ, length to the top circle L, and length to the bottom circle L+hs were determined as above, sothe development figure can be drawn.

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현재 위치

Development figureof a truncated cone (by height and radius of the circle)

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