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What length of a solid cylinder 2 cm in diameter be taken to recast into a hollow cylinder of length 16 cm, external daimeter20cm and thickness 2.5mm?
79.04 cm
78.05 cm
76.25 cm
80.25 cm
According to the question Diameter of the solid cylinder=2 cm The solid cylinder is recast into a hollow cylinder of length 16 cm, external diameter of 20cm and thickness of2.5 cm Volume of the cylinder = ∏r2h Radius of the cylinder =1 cm So, volume of the solid cylinder=∏12h Let the length of the solid cylinder be l Volume of the hollow cylinder = ∏h(R2−r2) Thickness of the cylinder = (R-r) 0.25=10-r Internal radius of the cylinder is 9.75cm Volume of the hollow cylinder = ∏16(100−95.0625) Hence, the volume of the solid cylinder is equal to the volume of the hollow cylinder Equation I = equation ii ∏12h= π*16(100-95.06) =h=79.04cm Length of the solid cylinder is 79.04 cm.
By: MIRZA SADDAM HUSSAIN ProfileResourcesReport error
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