4.A copper sphere of radius 15 cm at temperature 25°C is heated up to a temperature of
95°C. The coefficient of linear expansion of copper is 17 × 10−6 K
−1.What is the change in volume of sphere
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Answer:
V=volume of sphere at radius 15cm
∆V=change in vol. Of sphere
∆T=change in temp. =95-25=70 °C
Alpha=Coefficient of linear expansion
Now use formula
∆V/V=3 × alpha × ∆T
∆V=3 × alpha × ∆T × V
Put the values in above EQ
∆V=3 × 17 × 10-6 × 70 × [4/3π(15)³]
∆V =>50.44 cm³
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