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?

Question

Mathematics

Bunny

20 September, 19:39

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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Answers (1)

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Tyree Bradley · Answer 1

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