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Conversion of solid from one shape to another

A solid iron ...

Question

A solid iron pole having cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that the mass of 1 cm³ of iron is 8 gm.

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Solution

We have to find the mass of a pole having a cylindrical base surmounted by a cone.

Radius of cone and cylinder

Height of cylinder

Height of cone

So volume of the pole is,

Put the values to get,

Mass of 1 of iron is 8 gm.

Therefore mass of the iron,

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