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3 April, 13:36

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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  1. 3 April, 17:21
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    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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