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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
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?
- A \(4264 \pm 81\,cm^3\)
- B \(4260 \pm 80\,cm^3\)
- C \(4264 \pm 81.0\,cm^3\)
- D \(4300 \pm 80\,cm^3\)
Answer & Solution
Correct Answer
(B) \(4260 \pm 80\,cm^3\)
Step-by-step Solution
Detailed explanation
\begin{array}{l} V = \pi {R^2}h = \frac{\pi }{4}{D^2}h\\ \,\,\,\,\,\,\, = 4260\,c{m^2}\\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{\Delta V}}{V} = 2\frac{{\Delta D}}{D} + \frac{{\Delta h}}{h}\\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {2 \times…
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