Answer:
126π in³
Step-by-step explanation:
The volume of the figure is the sum of the volumes of the cylinder and hemisphere. The radius is half the diameter, so is 3 in. The volume formula for this figure is ...
V = πr²h +2/3πr³ = πr²(h +2/3r)
V = π(3 in)²(12 in + 2/3(3 in)) = π(9 in²)(14 in)
V = 126π in³
The volume of the part is 126π cubic inches.
