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Q: Cone optimization problem ( No Answer,   3 Comments )
Subject: Cone optimization problem
Category: Reference, Education and News > Homework Help
Asked by: cron1000-ga
List Price: $3.00
Posted: 30 Apr 2006 13:30 PDT
Expires: 01 May 2006 06:25 PDT
Question ID: 724190
a conical drinking cup is made from a circular piece of paper of
radius 3 inches by cutting out a sector and joining the edges of the
removed sector. find max volume
There is no answer at this time.

Subject: Re: Cone optimization problem
From: kottekoe-ga on 30 Apr 2006 14:36 PDT
Interesting homework problem. Here is one way to proceed. Figure out
how the height of the cone depends on the radius of the base. Computer
the volume. Figure out which radius gives the maximum volume.
Obviously both 0 and 3 inches have zero volume, but values in between
do not.
Subject: Re: Cone optimization problem
From: cron1000-ga on 30 Apr 2006 16:10 PDT
when they give the radius of 3 inches. that isnt the radius of the
cone right? its the radius of the circular paper.  right ? so wouldnt
that be the height
Subject: Re: Cone optimization problem
From: cron1000-ga on 30 Apr 2006 16:30 PDT
nevermind.  i cut myself a diagram out of paper  :)

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