Volume of Hollow Cylinder Derivation
We know that the formula to calculate the volume of a solid cylinder when radius (r) and height (h) is (πr2)h cubic units.
Volume of cylinder = Base area × Height = (πr2)h cubic units
Now, the volume of a hollow cylinder is equal to the difference between the volume of the external cylinder and the volume of the internal cylinder.
Let us consider that the outer radius of the hollow cylinder is “R,” its inner radius is “r,” and “h” is the height of the cylinder.
Volume of a hollow cylinder = (Volume of the cylinder with outer radius “R” and height “h”) – (Volume of the cylinder with inner radius “r” and height “h”)
Volume of a hollow cylinder (V) = πR2 × h – πr2 × h
V = π(R2 -r2)h cubic units
Volume of a Hollow Cylinder
A cylinder is a three-dimensional object that is formed when a rectangle is rotated along any of its sides. A hollow cylinder is one type of cylinder that is hollow from the inside. A hollow cylinder can be defined as a three-dimensional geometric object that is empty from the inside. A hollow cylinder consists of two circular bases that have inner and outer radii. The circular bases are similar to an annular ring, which is a region bounded by two concentric circles.