Geometry

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I'm not asking for the answer (I hate when people do that) I'd just like to know how to go about this so that I may understand. Any help is much appreciated.

"A sphere of ice cream is placed onto your ice cream cone. Both have a diameter of __ cm. The height of your cone is __ cm.If you push the ice cream into the cone, will all of it fit?"

  • Geometry -

    The sphere with a diameter of r (=(d/2) has a volume of Vs=4πr³/3.
    The volume of a cone with a radius of r and height h is Vc=(1/3)πr²h.
    If Vs>Vc, the ice cream will not fit in the cone.

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