Compare the ratio of increase in volumes of a thin cylinder to that of a spherical shell having the same internal pressure and dt ratio, where d and t are internal diameter and the thickness respectively. Take μ=0.3.
A
2
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B
1.81
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C
3.4
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D
2.89
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Solution
The correct option is B 1.81 For cylinder, increase in volume, δV=V.(∈l+2∈c) =VE.pd4t[((1−2(0.3))+2(2−(1×0.3)))]
=VE.3.8pd4t
For spherical shell, δV′=VE.pd4t[(1−0.3)+2(1−0.3)]