Question

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)

Answer 1

Answer:1 and 2

Step-by-step explanation:

Given

Volume needed $V=220\ in.^3$

For first cylinder

$r=3\ in.$

$h=4\ in.$

$V=\pi r^2h$

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

$V_1=113.11\ in^3$

For 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 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 fourth cylinder

$r=4\ in.$

$h=9\ in.$

$V=\pi r^2h$

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

$V_4=452.448\ in^3$

So, cylinder $1$ and $2$ are appropriate as it is under $220\ in.^3$