Answer:
37.7 [tex]inches^{3}[/tex]
Step-by-step explanation:
Note: Make sure all units of length in this question are the same
Base radius r = 3 inches
Perpendicular height h = 4 inches
Volume of cone = [tex]\frac{1}{3}[/tex] x (Area of base) x (perpendicular height)
= [tex]\frac{1}{3}[/tex] x π[tex]r^{2}[/tex]x h
= [tex]\frac{1}{3}[/tex] x π(3 inches) x (3 inches) x (4 inches)
= 12π [tex]inches^{3}[/tex]
= 37.7 [tex]in^{3}[/tex] (Rounded off to 3 significant figures)