Answer: [tex]100.544\ in.^3[/tex]
Step-by-step explanation:
Given
Diameter of the cone [tex]d=8\ in.[/tex]
Height of the cone [tex]h=6\ in.[/tex]
Volume of the Cone is given by
[tex]\Rightarrow V=\dfrac{1}{12}\pi d^2h[/tex]
[tex]\Rightarrow V=\dfrac{1}{12}\times \pi\times 8^2\times 6\\\\\Rightarrow V=16\pi \\\Rightarrow V=100.544\ in.^3[/tex]
The volume of the cone is [tex]100.544\ in.^3[/tex]
