A rectangular prism has a cylindrical hole removed, as shown at right Homework Help ✎
If the length of the radius of the cylindrical hole is 0.5 cm, what is the volume of the solid?
What could this geometric figure represent? That is, if it were a model for something that exists in the world, what might it be? Also, how might you change it to make it a better model?
Volume of cube − volume of cylinder = volume of solid.
Volume of cylinder = πr²h
v = π(0.5)²(6)
v = 1.5π ≈ 4.71 cm³
Volume of a cube = l · w · h
v = 5(2)(6) = 60 cm³
Volume of cube − volume of cylinder = 60 cm³ − 4.71 cm³
≈ 55.3 cm³