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

1, 2, and 4.

Explanation:

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

Answer 2

Answer:1 and 2

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`