The volume of cone is double of the volume of cylinder.
Further explanation:
We have to find both volumes first to compare the volumes of both.
Volume of Cylinder:
Given
Diameter = d = 8 inches
[tex]Radius=r=\frac{d}{2}=\frac{8}{2}=4\ inches[/tex]
Height of cylinder=h=3 inches
[tex]V_{Cyl}=\pi r^2h\\=3.14*(4)^2*3\\=3.14*16*3\\=150.72\ in^3[/tex]
Volume of Cone:
Radius=r=4 inches
Height of cone= h= 18 inches
[tex]V_{con}=\frac{1}{3}\pi r^2h\\=\frac{1}{3}*3.14*(4)^2*18\\=\frac{1}{3}*3.14*16*18\\=301.44\ in^3[/tex]
We can see that
[tex]2V_{cyl}=V_{Con}[/tex]
The volume of cone is double of the volume of cylinder.
Keywords: Volume, Volume of cone
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