Answer: [tex]84\text{ in.}^3[/tex]
Step-by-step explanation:
The volume of cone is given by :-
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex], where r is radius and h is height of the cone.
Given: Diameter : 8 in.
Then Radius =[tex]\dfrac{8}{2}=4\ in.[/tex]
Height : 5 in.
Then , the volume of the cone will be :-
[tex]V=\dfrac{1}{3}(3.14) (4)^2 (5)=83.73333333\approx84\text{ in.}^3[/tex]
Hence, the volume of the cone =[tex]84\text{ in.}^3[/tex]
