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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
please help me

Answer :

The cone holds 44 cubic inches more ice cream than a cup.

Important information:

  • Height of a cone is x =6 in and radius w = 4 in.
  • Diameter of a cylinder is y = 6 in and height z = 2 in.

We need to find the volumes of each ice cream container.

Volume:

Volume of the cone is:

[tex]V_1=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V_1=\dfrac{1}{3}(3.14) (4)^2(6)[/tex]

[tex]V_1=100.48[/tex]

The diameter of the cylinder is 6 in so the radius is 3 in.

Volume of the cylinder is:

[tex]V_2=\pi r^2h[/tex]

[tex]V_2=(3.14)(3)^2(2)[/tex]

[tex]V_2=56.52[/tex]

Clearly [tex]V_1>V_2[/tex].

[tex]V_1-V_2=100.48-56.52[/tex]

[tex]V_1-V_2=43.96[/tex]

[tex]V_1-V_2\approx 44.0[/tex]

Therefore, the cone holds 44 cubic inches more ice cream than a cup.

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https://brainly.com/question/1780981

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