Question:

Math Carpet Question?

Is there a formula that you can tell how many feet are on a roll of Carpet without having to unroll and measure it?

Answer:

I'm sure you could figure it out, but it would depend on a lot of variables (i.e. total diameter of roll, width of carpet, etc). Would probably be much easier to unroll it in all honesty.
1. assume d carpet is so tightly rolled dat it can b treated as a right circular cylinder 2. let the radius of this rolled carpet be R width W, then volume V = pi*R^2*W 3. measure thickness of carpet accurately, say = t then V = W*t*L 4 equating the two, W*t*L = pi*R^2*W or L = pi*R^2 / t u don't hv 2 measure d width, only R t [ actually, better 2 measure D use R = D/2 ] happy new year !!!

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