Answer:
1577.20 ft³
Step-by-step explanation:
Cube of length = 12 ft = a
Hole diameter which is cutout = 4 ft = d
Hole radius which is cutout = 4/2 =2 ft = r
Volume of the cube = a³
⇒Volume of the cube = a×a×a
⇒Volume of the cube = 12×12×12
⇒Volume of the cube = 1728 ft³
The hole cut out will be in the shape of a cylinder
Volume of cylinder = πr²h
⇒Volume of cylinder = π×2²×12
⇒Volume of cylinder = 150.79 ft³
Now volume of the solid figure with hole cut out is
Volume of the cube - Volume of cylinder
=1728 - 150.79
=1577.20 ft³
∴ Volume of solid figure not including hole cutout is 1577.20 ft³
