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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 = 2.5 cm,
`"diameter" = 2.5 mm = 2.5 xx 10^(-1) cm`
= 0.25 cm
Radius, r = 0.125 cm
`"Volume of the rod" = pir^(2)l`
`= 3.1428 xx 0.125 xx 0.125 xx 2.5`
Here 2.5 has two significant figures. Round off the remaining numbers to 2 + 1 = 3 significant figures .
`:. "Volume of the rod" = 3.14 xx 0.125 xx 0.125 xx 2.5`
=0.1226
This has to be rounded off to two significant figures. `"Volume of the rod" = 0.12 cm^(3)`
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