Academics – Mathematics : 2014/OCT/09
Question
Q9. A hexagonal steel bar of side 8 cm and length 45 cm is machined, without reducing its overall length, into a composite solid as shown in Fig Q9.
The top third is conical with maximum possible base diameter.
The middle third is cylindrical with the same diameter as the base of the cone.
The lower third remains intact.
Calculate EACH of the following:
(a) the total volume of steel removed; (14)
(b) the percentage volume of steel removed. (2)
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