SOLUTION: a cylinder of radius 1 cm and height 1 cm is broken in to three pieces. which of the following must be true and how? (prove it) 1. at least one piece has volume equal to 1 cm3 2.

Question 879655: a cylinder of radius 1 cm and height 1 cm is broken in to three pieces. which of the following must be true and how? (prove it)
1. at least one piece has volume equal to 1 cm3
2. at least two piece has equal volume
3.at least one piece has volume less than 1 cm3
4.at least one piece has volume greater than 1 cm3
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
V=pi*r^2*h
=pi*1*1
=pi
=~ 3.14 cm^3
.
3.14/3>1.04 cm^3
so at least one piece has volume greater than 1 cm^3. Possibly all 3 pieces have a volume greater than 1 cm^3.
.
Ed
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