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: $42.39\text{ inches}^3$

Step-by-step explanation:

Given: The diameter of funnel = 6 inches

Then, Radius = $r=\dfrac{6}{2}=3\text{ inches}$

Height = 4.5 inches

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

$V=\dfrac{1}{3}\pi r^2 h$

i.e. $V=\dfrac{1}{3}(3.14)(3)^2 (4.5)$

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

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