Answer:
The approximate volume of the cone is 14 cube inches.
Step-by-step explanation:
Circumference of the base of the cylinder = 3π inches
Height of the cylindrical piece of wood = 6 inches
volume of a cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h
But,
circumference = 2πr
3π = 2πr
r = [tex]\frac{3}{2}[/tex]
= 1.5 inches
Radius of the base of the cylinder is 1.5 inches.
So that;
volume of cone = [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](\frac{3}{2}) ^{2}[/tex] x 6
= [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]\frac{9}{4}[/tex] x 6
= 14.143
volume of cone = 14.143 cube inches
The approximate volume of the cone is 14 cube inches.
