Question

Harold uses a cone shaped feeder, with a diameter of 7.5 centimeters and a height of 3.5 centimeters, to feed his tropical fish. How many cubic centimeters of feed can this feeder hold? Use 3.14 for pi. Enter your answer in the box as a decimal rounded to the nearest tenth

Answer 1

This requires you to find the volume of the cone.
The volume of a cone is 1/3 the area of the base (a circle) times the height of the cone, or 1/3(3.14)r^2 * h.

The radius of the base is 7.5/2 or 3.75.

V = 1/3(3.14 * 3.75^2) * 3.5

V = 1/3(44.16) * 3.5

V = 1/3*154.56

V = 51.5 cm^3 of feed

Answer 2

`51.5\ cm^(3)`

Explanation:

step 1

Find the volume of a cone

we know that

The volume of a cone is equal to

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

we have

`r=7.5/2=3.75\ cm` -----> the radius is half the diameter

`h=3.5\ cm`

substitute the values

`V=(1)/(3)(3.14)(3.75^(2))(3.5)=51.5\ cm^(3)`