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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Wrap Around a Bucket

Geometry - Wrap Around a Bucket


Expert: Azeem Hussain - 6/28/2009

Question
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
IMAGE: bucket copy

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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