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How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?
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How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?

User Rachie
by
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1 Answer

4 votes
Vcone=1/3(hpir^2)
Vsphere=(4/3)pir^3

evaluate
vcone=1/3(1pi1^2)=pi/3
vsphere=4/3pi1^3=4pi/3


pi/3 times what=4pi/3
times both sides by 3
pi times what=4pi
divide both sides by pi
1 times what=4
what=4



4 cones

User Ray Hidayat
by
7.2k points
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