The volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
What is a cylinder and a square prism?
A square prism is simply a 3-dimensional shape figure with square bases and the other four faces are rectangular in shape.
The volume of a square prism is expressed as;
V = a²h
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Given the data in the question and image below.
For the square prism;
For the cylinder;
- Radius r = diameter/2 = 20mm/2 = 10mm
- Height h = 35mm
- Constant pi π = 3.14
Now, the volume of tthe remaining material once the hole has been drilled will be;
V = Volume of the square prism - volume of the cylinderical hole
V = ( a² × h ) - ( π × r² × h)
V = ( (20mm)² × 35mm ) - ( 3.14 × (10mm)² × 35mm)
V = 14000mm³ - 10990mm³
V = 3010mm³
Therefore, the volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.
Learn more on volume of cylinder here: brainly.com/question/16788902
#SPJ1
