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3 months ago

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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 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)

1 answer:

zzz [12.3K]3 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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