Answer:
D. 126 cm³
Step-by-step explanation:
The formula for the volume of a cylinder in terms of its diameter can be written as ...
V = (π/4)d²h
The difference between the volume of the overall cylinder and the volume of the hole is ...
V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h
V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³
The volume of the solid cylinder with a hole in it is about 126 cm³.
