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The diameter and height of a cyliner are...

The diameter and height of a cyliner 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 figure ?

A

`4264 pm 81 cm^3`

B

`4300pm 80 cm^3`

C

`4260pm80 cm^3 `

D

`4264.4pm 81.0 cm^3`

Text Solution

Verified by Experts

The correct Answer is:
C
`V=pi(d^2)/4h=4260cm^3`
`(DeltaV)/V=(2Deltad)/d +(Deltah)/h`
`DeltaV=2 xx(0.1 V)/(12.6)+(0.1 V)/(34.2)`
`=(0.2)/(12.6)xx4260 +(0.1 xx4260)/(34.2) = 80`
Volume `= 4260 pm 80 cm^3`
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