Describe a short note on hollow cylinder.
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Answer:
A solid surface produced by a line moving parallel to a fixed line, while its end describes a closed figure in a plane is called a cylinder. ... A hollow cylinder is a cylinder which is vacant from inside and has some difference between the internal and external radius.
★ An object bounded by two co-axial cylinders of the same height and different radii is called a 'hollow cylinder'.
★ Let R and r be the outer and inner radii of the cylinder. Let h be its height.
C.S.A of the Hollow cylinder = outer C.S.A of the cylinder + inner C.S.A of the cylinder
= 2 πRh+2 πrh
Therefore,
C.S.A of a hollow cylinder = 2π(R + r) h sq.units
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T.S.A of the hollow cylinder = C.S.A + Area of two rings at the top and bottom
= 2π(R+r)h + 2π(R²- r²)
Therefore,
T.S.A of a hollow cylinder = 2π(R+r)(R-r+h) sq.units.