QJEEM19Ph2495: JEE Main 2019 Physics - Class 11 JEEM19Ph2495 Solution: The diameter and height of a cylinder are measured by a meter…

Question

Verified Solution • 2025–26 Session moderate

The diameter and height of a cylinder are measured by a meter scale to be 12.6

\pm

0.1 cm and 34.2

\pm

0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?

Accepted Answer

Volume of cylinder(V) =

π

r²h

=

π \frac{d^{2}}{4} h

=

3.14 \times \frac{{(12.6)}^{2}}{4} \times 34.2

= 4260

\frac{Δ V}{V} = 2 \frac{Δ d}{d} + \frac{Δ h}{h} = 2 (\frac{0.1}{12.6}) + \frac{0.1}{34.2}

= 0.0188

∴

Δ

V = 0.0188

\times

4260 = 80

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