The cylinder is a three-dimensional shape and it has a radius, diameter and a height
How to determine the lateral surface area?
Assume the square has the following dimensions:
Base dimensions = x
Height = h
Assume the cylinder has the following dimensions:
Radius = r
Height = h
When the square is drilled out, the lateral surface area would be:
Lateral Area = Cylinder - Square
This gives
[tex]Lateral = 2\pi rh - 4xh[/tex]
Factor out 2h
[tex]Lateral = 2h( \pi h - 2x)[/tex]
How to determine the total surface area?
Using the same dimensions in (a), we have:
Total surface Area = Cylinder - Square
This gives
[tex]Area = 2\pi r(r +h) - 2(2x^2 - xh)[/tex]
Factor out 2
[tex]Area = 2[\pi r(r +h) - (2x^2 - xh)][/tex]
How to determine the base area?
Using the same dimensions in (a), we have:
Base area = Cylinder - Square
So, we have:
[tex]Base = \pi r^2 - x^2[/tex]
How to determine the volume?
Using the same dimensions in (a), we have:
Volume = Cylinder - Square
So, we have:
[tex]Volume = \pi r^2h - x^2h[/tex]
Factor out h
[tex]Volume = h(\pi r^2 - x^2)[/tex]
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