Question

A funnel is shaped like a cone and is 4.5 inches high and has a diameter of 6 inches. What is the volume of the funnel? Use 3.14 for pi. Round your answer to the nearest hundredth. 10.60 in3 42.39 in3 63.61 in3 169.64 in3

Answer 1

Answer:
`42.39\text{ inches}^3`

Explanation:

Given: The diameter of funnel = 6 inches

Then, Radius =
`r=(6)/(2)=3\text{ inches}`

Height = 4.5 inches

The formula to find the volume of a cone is given by :-

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

i.e.
`V=(1)/(3)(3.14)(3)^2 (4.5)`

`\Rightarrow\ V=42.39\text{ inches}^3`

Hence, the volume of the funnel =
`42.39\text{ inches}^3`

Answer 2

V=PI x r^2 x (h/3)

3.14 x 3^2 x (4.5/3) = 42.39 in^3