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

@texaschic101 @Mehek14

Answer 2

i gtg @texaschic101 will help

Answer 3

@texaschic101 @amistre64 @Michele_Laino

Answer 4

Volume of Bird Feeder=(1/3)Pi(3^2)24
volume of seed pkg= (pi)(6^2)h
Simplify each Volume: 72pi (feeder)
36h(pi) seed pkg. The volumes need to be equal.
36 h (pi) = 72 Pi divide both sides by Pi
36 h = 72 solve for h

Answer 5

2?

Answer 6

Thats what I came up with.

Answer 7

so 2 inches

Answer 8

Yes the units would be inches. Note that the Pi(s) cancelled out in the division, so that would be an exact answer.