The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1   c m and 34…

The diameter and height of a cylinder are measured by a meter scale to be 12.6±0.1 cm and 34.2±0.1 cm , respectively. What will be the value of its volume in appropriate significant figures?
  1. 4264±81cm3
  2. 4264.4±81.0 cm3
  3. 4260±80 cm3
  4. 4300±80 cm3

Solution

V=πd2h4=π412.6234.2 cm3

dVV=2ddd+dhh

Converting to errors

∆VV=2∆dd+∆hh

∆V4260=20.112.6+0.134.2

⇒∆V=80 cm3

V=4260±80 cm3

Asked in: JEE Main 2019 (10 Jan Shift 2)

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