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The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use




3 inch radius and 4 inch height



4 inch radius and 4 inch height



9 inch radius and 9 inch height



4 inch diameter and 9 inch height



6 inch diameter and 9 inch height



9 inch diameter and 4 inch height\



(Please hurry)

Respuesta :

Answer:1 and 2

Step-by-step explanation:

Given

Volume needed [tex]V=220\ in.^3[/tex]

For first cylinder

[tex]r=3\ in.[/tex]

[tex]h=4\ in.[/tex]

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

[tex]V_1=\pi (3)^2(4)[/tex]

[tex]V_1=113.11\ in^3[/tex]

For second cylinder

[tex]r=4\ in.[/tex]

[tex]h=4\ in.[/tex]

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

[tex]V_2=\pi (4)^2(4)[/tex]

[tex]V_2=201.08\ in^3[/tex]

For Third cylinder

[tex]r=9\ in.[/tex]

[tex]h=9\ in.[/tex]

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

[tex]V_3=\pi (9)^2(9)[/tex]

[tex]V_3=2290.51\ in^3[/tex]

For fourth cylinder

[tex]r=4\ in.[/tex]

[tex]h=9\ in.[/tex]

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

[tex]V_4=\pi (4)^2(9)[/tex]

[tex]V_4=452.448\ in^3[/tex]

So, cylinder [tex]1[/tex] and [tex]2[/tex] are appropriate as it is under [tex]220\ in.^3[/tex]

s40010916

Answer:

1, 2, and 4.

Step-by-step explanation:

Don't forget for these 3 you had to cut the diamiter in half to get the radius.

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