Respuesta :

Solution:

we have been asked to find

The difference between the volume of cone and the volume of a cylinder?

As we know that the volume of the cone is given by the formula

[tex] V=\frac{1}{3} \pi r^2h\\
\\
\text{where h= height of cone, r=radius } \\ [/tex]

And the volume of the Cylinder is given by the formula

[tex] V= \pi r^2h\\
\\
\text{where h=Height, r=radius}\\ [/tex]

The difference between the volume of cone and the volume of a cylinder can be calculated as below

[tex] Difference=\frac{1}{3} \pi r^2h-\pi r^2h=-\frac{2}{3}\pi r^2h [/tex]