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

Answer 1

V = V₁- V₂

===============================

the volume of a cylinder is:

height • Area = height • ( π • r² )

===============================


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 )┃
┗━━━━━━━━━━━━━━━━━━━━┛


=========================================



The End


♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥ ♥


I Hope this Helps❣❣

Answer 2

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)

Answer 3

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] h

Answer 4

It is the volume of the outer cylinder minus the volume of the inner cylinder.

Answer 5

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.