Answer :

Side of cube = a = 50 cm

Volume of cube = V = a^{3} = 50^{3} = 125000 cm^{3}

Radius of cylinder = r = 7 cm

Height of cylinder = h cm

Volume of cylinder = πr^{2}h

= (22/7) × 7^{2} × h

= 154h cm^{3}

10 cylinder tins are made

Total volume of cylinders = 10 × 154h

= 1540h cm^{3}

Wastage of 12% of volume of cube therefore 88% of volume is utilized

Hence 110000 cm^{3} of cube volume is utilized to make 10 tins

Volume remains unchanged

∴ volume of cube utilized = Total volume of cylinders

∴ 110000 = 1540h

∴ 11000 = 154h

∴ h = 11000/154

∴ h = 71.428 cm

Height of cylinder = 71.428 cm

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