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avanturin
2 months ago
10

The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competi

tion. 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)
Mathematics
1 answer:
zzz [12.3K]2 months ago
3 0

Response:1 and 2

Step-by-step Explanation:

Provided data

Volume required V=220\ in.^3

For the initial cylinder

r=3\ in.

h=4\ in.

V=\pi r^2h

V_1=\pi (3)^2(4)

V_1=113.11\ in^3

For the second cylinder

r=4\ in.

h=4\ in.

V=\pi r^2h

V_2=\pi (4)^2(4)

V_2=201.08\ in^3

For the third cylinder

r=9\ in.

h=9\ in.

V=\pi r^2h

V_3=\pi (9)^2(9)

V_3=2290.51\ in^3

For the fourth cylinder

r=4\ in.

h=9\ in.

V=\pi r^2h

V_4=\pi (4)^2(9)

V_4=452.448\ in^3

Thus, cylinders 1 and 2 meet the requirement as they remain under 220\ in.^3

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