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.

Answer 1

Answer:

$47.1 inch^3$

Step-by-step 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

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

Answer 2

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