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Geometry/Wrap Around a Bucket

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bucket copy
bucket copy  
QUESTION: Hi Azeem,
I'm wrapping a vinyl adhesive around a bucket, and can't get the fit exact.  I tried drawing the top diameter, offset with the height of the bucket, but the dia of the bottom is off.  Is there a formula I can try, I need this for my work.  Top dia = 10", bottom dia = 7 5/8",
height is 8 3/8"
Thanks
Lynn

I'm attaching a jpeg so you can see what I'm talking about

ANSWER: Hi Lynn,

I don't understand what it is you're trying to do.  You're asking me for a formula, but to find what?  The area of the adhesive?  Tell me specifically what it is you need and I'll get back to you.

Awaiting your follow-up,
Azeem

---------- FOLLOW-UP ----------

QUESTION: Hi, thanks for getting back so quickly.  Yes, I guess I need the area of the adhesive. I'm not sure how to ask the question, just don't understand how to cut the wrap to fit the bucket.
Thanks
Lynn

Answer
Hi Lynn,

You'll need to cut a sort of arch thing you have in the picture.  It will have to be 31.42" on the top 23.95" on the bottom (pi times diameters).  (These come out to about 2' 7 7/16" and 1' 11 46/48" respectively.)  These curves will need to be spaced by the height of the bucket.  ("Height" in this case means the distance between the two diameters, not how far the top of the bucket is from the ground.)

You might be able to actually cut this without necessarily knowing those measurements.  Take half the top diameter and draw a circle (fashion a compass with two pencils and string).  Using the same center point, draw another circle with half the bottom diameter.  Once you cut this out, the spacing (height) should already be proper.

Hope this helps,
Azeem

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Azeem Hussain

Expertise

I can answer mostly any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry.

Experience

Drop-in tutor at Champlain College since 2010. I am neither a professor nor a teacher of this subject. I am merely a student who is good at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Education/Credentials
Presently enrolled in Materials Engineering at McGill University. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert. Diploma of Secondary Studies from Chambly Academy High School. Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

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