A solid cylinder is to be cast and its density calculated using

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A solid cylinder is to be cast and its density calculated using ρ=mπr2h\rho = \dfrac{m}{\pi r^{2}h}. The percentage uncertainties in the measurements are: • mass mm : 0.5%0.5\% • radius rr : 1.2%1.2\% • height hh : 0.8%0.8\% Which single measurement, if improved, would most effectively reduce the percentage uncertainty in the calculated density? (a) Mass mm (b) All three contribute equally (c) Radius rr (d) Height hh

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