Question

A bird feeder has a diameter of 3 inches and is composed of a cylinder and a cone. A diagram of the feeder is shown below.

What is the volume of this bird feeder, to the nearest tenth of cubic inch?

Answer 1

Here is the formula for this V=pi*r^2*h

Answer 2

`47.1 inch^3`

Explanation:

given

Diameter 3 inches

height of cone 2 inches

height of cylinder 6 inches

so the radius is
`r=D/2=3inches/2=1.5 inches`

volume for cylinder is:

`V=\pi r^2h`

`V= (3.14)(1.5)^2(6)`

`V= 42.39 inch^3`

volume for cone is :

`V=1/3 \pi r^2h`

`V= 1/3(3.14)(1.5)^2(2)`

`V=4.71 inch^3`

so the total volume of the bird feeder would be:

adding both volumes we get the answer

`V= 42.39+4.71\\V= 47.1 inch^3`