Question

A shop uses cone-shaped coffee filters in its coffee pots. Each filter has a diameter of 5 inches and a height of 4 inches. What is the volume of the filter? Use 3.14 to approximate pi. Round your answer to the nearest tenth.

Answer 1

26.2 inches cubed

Explanation:

The volume of a cone is denoted by:
`V=(1)/(3) \pi r^2h`, where r is the radius and h is the height.

Here, we are given that the diameter is 5. Remember that the radius is simply 1/2 the diameter, so the radius is r = 5/2 = 2.5. We are also given that the height is h = 4. Plug these into the equation:

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

`V=(1)/(3) *3.14* (2.5^2)*4` ≈ 26.2

Thus, the volume is about 26.2 inches cubed.

Hope this helps!