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Question

An aluminium sphere of 20 cm diameter is heated from 0C to 100C. Its volume changes by (given that coefficient of linear expansion for aluminium αAl=23×106/C


Correct Answer
A
28.9 cc
Your Answer
B
2.89 cc
Your Answer
C
9.28 cc
Your Answer
D
49.8 cc

Solution

The correct option is A 28.9 cc
Given, d=20 cm 
V=V0=(1+γΔT)=V0(1+3αΔT)
Where γ is coefficient of volumetric expansion.
γ=3α
Volume of sphere =43πr3
Change in volume =VV0=3V0αΔT
=3×43π(d2)3×23×106×100
=3×43π(0.22)3×23×106×100
=28.9 cc(1 cc=106 m3)
The correct option is (A).
 

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