Question

The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm find the volume of the metal used in making a cylinder assuming that it is open at the both the ends also find its weight if the metal weighs 8 gram per metre cube













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Answer 1

r₂ = outer radius of cylinder = 14 cm = 0.14 m

t = thickness of cylinder = 2 cm = 0.02 m

r₁ = inner radius of cylinder = r₂ - t = 14 - 2 = 12 cm = 0.12 m

L = length of the cylinder = 70 cm = 0.70 m

Volume of cylinder can be given as

V = π (r₂² - r₁²) L

inserting the values in the above equation

V = (3.14) ((0.14)² - (0.12)²) (0.70)

V = 0.0114 m³

m = mass of the cylinder per unit Volume = 8 gram/m³

M = total mass of cylinder = mV = 8 x 0.0114 = 0.0912 g

weight of the cylinder is given as

W = Mg

W = 0.0912 x 9.8

W = 0.894 N