The relationship between the volume of the cylinder and cone is the volume of the cone is 1.5 times bigger than the volume of the cylinder.
Explanation:
The radius is given by [tex]r=\frac{d}{2} =\frac{8}{2} =4[/tex]
The volume of the cone can be determined using the formula,
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
where [tex]\pi=3.14, r=4, h=18[/tex]
Volume of the cone [tex]=\pi r^{2} \frac{h}{3}[/tex]
[tex]=3.14(4)^2\frac{(18)}{3}[/tex]
[tex]=301.44 \ cm^3[/tex]
The volume of the cone is [tex]301.44 \ {cm}^{3}[/tex]
The volume of the cylinder can be determined using the formula,
[tex]V=\pi r^{2} h[/tex]
where [tex]\pi=3.14, r=4, h=9[/tex]
Volume of the cylinder [tex]=\pi r^{2} h[/tex]
[tex]=3.14(16)(9)[/tex]
[tex]=452.16 \ cm^3[/tex]
Thus, the volume of the cylinder is [tex]452.16 \ {cm}^{3}[/tex]
Hence, the relationship between the volume of the cylinder and cone is the volume of the cone is 1.5 times bigger than the volume of the cylinder.
