Question

Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes.

What is the height of the package that has a radius of 6 in. and contains exactly enough bird seed to fill the feeder?
Use 3.14 to approximate pi.


in.

Answer 1

@imqwerty

Answer 2

I think you need to find the volume of the bird feeder first....

Answer 3

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

Answer 4

So what is \[V=(3.14)(3)^2(24)?\]

Answer 5

678.24

Answer 6

Right. Now:
\[678.24=(3.14)(6)^2(x)\]

Answer 7

Solve for x

Answer 8

You multiply those and then divide, right? :/

Answer 9

I got 6 for the height

Answer 10

3.14*36 and yeah divide what you got for the volume for the bird feeder by what you get for 3.14*36

Answer 11

That should be right, that is what I got

Answer 12

So it's 6? :/

Answer 13

Yes, but I would have someone double check, just in case. Haven't done this for a while

Answer 14

@FortyTheRapper, can you check?

Answer 15

I got 2

When you found the volume of a bird feeder, you used the same formula you did for the cylindrical figure

You forgot to do the 1/3 part. The cone equals 226.08 after that, so

\[226.08=(3.14)(6^2)(H)\]

Answer 16

Ohhh yeahhhh!!! The 1/3!!!!

Answer 17

Oh...sorry D:

Answer 18

Yeah, cone volume is the weirdest imo lol

Answer 19

yeah
2.000530 and on and on

Answer 20

so 2 is the answer?

Answer 21

Yeah, after calculating I got

\[226.08 = 113.04(h)\]Since pi = 3.14 was to be used

Answer 22

Yeah.
Then I divided 226.08 by 113.04
And that got me 2

Answer 23

Yep, sounds good

Answer 24

I have like 3 more.

Answer 25

Aight, let's see em