20-03-2017
Mathematics

contestada

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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20-03-2017

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

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