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?



Respuesta :

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

Answer:

[tex]47.1 inch^3[/tex]

Step-by-step explanation:

given

Diameter 3 inches

height of cone 2 inches

height of cylinder 6 inches

so the radius is [tex]r=D/2=3inches/2=1.5 inches[/tex]

volume for cylinder is:

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

[tex]V= (3.14)(1.5)^2(6)[/tex]

[tex]V= 42.39 inch^3[/tex]

volume for cone is :

[tex]V=1/3 \pi r^2h[/tex]

[tex]V= 1/3(3.14)(1.5)^2(2)[/tex]

[tex]V=4.71 inch^3[/tex]

so the total volume of the bird feeder would be:

adding both volumes we get the answer

[tex]V= 42.39+4.71\\V= 47.1 inch^3[/tex]

Ver imagen zohazoee