How may iron rods, each of length 7 m and diameter 2 cm can be made out of .88 cubic metre of iron?
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Answer:
40 Numbers. On the total volume of 0.88 m^3, the length (of 7 m) is divided, to arrive at the maximum area occupied. This value when divided by the cross sectional area of the rods of 2 cms diameter (read as 0.02 m) gives a value which is slightly above 40. Hence nearest full positive integer is 40.
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Explanation:
Given length of iron rod =7 mts and and diameter of rod = 2 cms
=> r = 1/100 mts
Therefore, Volume of one rod = πr2h cu. m = (227×[1100]2×7)cu. m = 115000 cu. m
Given volume of iron = 0.88 cu. m
Therefore, Number of rods = (0.88×500011) = 400.
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