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What would be a good upper bound for the number of jelly beans?

What would be a good upper bound for the number of jelly beans?-example-1
User Wilsonhobbs
by
2.3k points

1 Answer

18 votes
18 votes

From the picture:

• height of 1 bean: 1 unit

,

• radius of 1 bean: 0.25 unit (assumed)

,

• height of the jar: 11 units

,

• radius of the jar 4 units

we assume that the jar and the bean are cylinders.

Volume of a cylinder = π*r²*h

where r is the radius and h is the height. Then:

Volume of 1 bean = π*0.25²*1 = 0.2 cubic units

Volume of the jar = = π*4²*11 = 553 cubic units

Therefore, an upper bound for the number of jelly beans is 553/0.2 = 2765

User Jonas T
by
2.9k points
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