I have the volume of the cone.how much cany can go in cone?

stern4488

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If the volume of a cone is 10491.53,,,,how do i figure how many pieces of cany can fit in the cone..the candy is 2cm long, 1cm wide and .5cm high.....how many pieces of cany can fit in the cone? What is the formula i would use?
 
A simple solution would be given by," how many volumes of [2x1x.5=1 cm^3] can fit into a volume of 10491.53 cm^3?

10491 pieces

I hope this is correct

Arthur
 
Arthur, that would assume you melted the candies to liquid....right?

Question makes little sense. And why pick volume of 10491.53 ?

If a square box 22by22by22 = 10648 was used instead, then it would make more sense.

Where did you get that problem, Stern? What grade are you in?
 
Actually, melting the candies would yield 10491.53 pieces, perfectly. We make the assumption that no piece can be split, and thus at most 10491 pieces can fit. It's a neat problem I remember in grade school. Sometimes we just have to make assumptions on these. (perhaps the cone is so flat the .53 cm[sup:mucasqlu]3[/sup:mucasqlu] is air between?)

I understand the quarum of actual pieces being square and the shape they fit into being a cone. They are not going to fit exactly and it will be less than 10491, but without knowing angles of the cone or a radius we will not get a nice function to plug into an integral, no? My calculus is a wee bit rusty, but it may be beyond the scope of this part of the forum.
 
helsfire said:
Actually, melting the candies would yield 10491.53 pieces, perfectly. We make the assumption that no piece can be split, and thus at most 10491 pieces can fit. It's a neat problem I remember in grade school. Sometimes we just have to make assumptions on these. (perhaps the cone is so flat the .53 cm[sup:lgkpr8es]3[/sup:lgkpr8es] is air between?)

I understand the quarum of actual pieces being square and the shape they fit into being a cone. They are not going to fit exactly and it will be less than 10491, but without knowing angles of the cone or a radius we will not get a nice function to plug into an integral, no? My calculus is a wee bit rusty, but it may be beyond the scope of this part of the forum.

Well beyond. Packing problems like this belong in the "Advanced Math" section.

My guess is he's trying to win a contest.
 
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