What is the volume of a cylinder with hole (e.g. washer)?

V = V₁- V₂





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the volume of a cylinder is:





height • Area = height • ( π • r² )





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V = ( height • π • R(outside)² ) - ( height • π • R(inside)² )











simplyfy by factoring out like terms:





┏━━━━━━━━━━━━━━━━━━━━┓


┃✓ V = height • π • ( R(outside)² - R(inside)² )┃


┗━━━━━━━━━━━━━━━━━━━━┛








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I Hope this Helps❣❣What is the volume of a cylinder with hole (e.g. washer)?
Volume of cylinder with hole is


Circular base area x height.


Circular base area = π [R^2- r^2]


Volume of cylinder with hole is


= π [R^2. - r^2] hWhat is the volume of a cylinder with hole (e.g. washer)?
The volume of this shape (known as an annulus) is simply the volume of the larger cylinder (as if it had no hole) minus the volume of the hole.





The volume of a cylinder is


V = π*H*R^2


where H is the height and R is the radius.





So, the volume of a cylinder with height H, outer radius R, and inner radius r is:


V = π*H*(R^2 - r^2)
Volume = π R² h - π r² h = π h (R² - r²) = π h (R+r)(R-r), where h is the height (thickness) of the cylinder(washer), R is the outer radius and r is the inner radius.
It is the volume of the outer cylinder minus the volume of the inner cylinder.