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The length of a rod is 2.5 cm and diamet...

The length of a rod is 2.5 cm and diameter is 2.5 mm. The volume of the rod with due consideration to significant figures is

Text Solution

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`l=2.5cm,`
diameter`=2.5mm=2.5xx10^(-1)cm=0.25cm`,
radius`r=0.125cm`
Volume of the rod`=pir^(2)l`
`=3.1428xx0.125xx0.125xx2.5`
Here `2.5`has two significant figures. Round off the remaining numbers to `2+1=3 `significant figures.
`:. `Volume of the rod `=3.14xx0.125xx0.125xx2.5`
`=0.1226`
This has to be rounded off to two significant figures. The result is `0.12cm^(3)`
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