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A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8 g mass.

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A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8 g mass.

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Given, the height of the big cylinder (H) = 220 cm

Radius of the base (R) = 24/12

= 12 cm

So, the volume of the big cylinder = πR2H

= π(12)× 220 cm3

= 99565.8 cm3

Now, the height of smaller cylinder (h) = 60 cm

Radius of the base (r) = 8 cm

The volume of the smaller cylinder = πr2h

= π(8)2 × 60 cm3

= 12068.5 cm3

∴ Volume of iron = Volume of the big cylinder+ Volume of the small cylinder

= 99565.8 + 12068.5

= 111634.5 cm3

Mass = Density x volume

So, mass of the pole = 8 × 111634.5

= 893 Kg (approx.)

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