Answer: [tex]60.34\ \text{ cubic inches}[/tex]
Step-by-step explanation:
The volume of a 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 : Height of cone : h= 6.4 inches
Diameter : d= 6 inches
i.e. [tex]r=\dfrac{d}{2}=\dfrac{6}{2}=3[/tex] inches
Then, volume of cone will be :-
[tex]V=\dfrac{1}{3}(\dfrac{22}{7}) (3)^2 (6.4)\ \ [\because \pi=\dfrac{22}{7}]=60.3428571429\approx60.34\ \text{ inches}^3[/tex]
Hence, the volume of cone = [tex]60.34\ \text{ cubic inches}[/tex]
