Respuesta :

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)