A funnel in the shape of the cone has a radius of 5 in and a height of 20 in. Find the volume of the cone in centimetres cubed if 1 inch ^3=16.39cm^3.

Given that a funnel is in the shape of a cone with
radius = r= 5 inch
height = h= 20 inch
We know that the volume of the cone is given by the formula:
Volume=V=\frac{1}{3}\pi r^2 h
i.e. V=\frac{1}{3}\pi (5^2)(20)
        =\frac{1}{3}\pi(25)(20)
         =523.598 inch^3
However, we are asked to find the volume in cm^3.
1inch^3=16.39cm^3
Therefore, we have to convert the obtained result from inch^3 to cm^3 .
Hence ,
Volume of the funnel  = 523.598\times 16.39 cm^3
                                =8581.78\ cm^3
The volume of the funnel is 8581.78\ cm^3 .