Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 4 in, x =6 in, y = 6 in, z = 2 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.

a cone with a height of x and a radius of w, a cylinder with a diameter of y and a height of z
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Step-by-step explanation:

Cone:  volume is V = πr²h.  If r = w = 4in and h = z = 2 in, then the volume of the ice cream cone would be

Cone:  V = (1/3) π (4 in)² (2 in) = (1/3) (32π) in³

Cup:  Volume (assumed to be cylindrical) is V = π r² h, which here would be  V = π (y/2)² z  =  π (6 ²/ 4) (2 in) = π (9 in² (2 in) =   V   = 18 π in³

Comparing the volumes of the cone and the cup, we get the ratio\

32/3

  or approximately (cone / cup):  11/18.  The cup has the greater

18                                                                              volume.

step-by-step explanation:

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