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A geodesic dome constructed with an aluminum framework is a nearly perfect hemis

ID: 3161073 • Letter: A

Question

A geodesic dome constructed with an aluminum framework is a nearly perfect hemisphere; its diameter measures 51.0 m on a winter day at a temperature of -11 C

How much more interior space does the dome have in the summer, when the temperature is 39 C ?

Express your answer using two significant figures.

A geodesic dome constructed with an aluminum framework is a nearly perfect hemisphere; its diameter measures 51.0 m on a winter day at a temperature of -11 C

How much more interior space does the dome have in the summer, when the temperature is 39 C ?

Express your answer using two significant figures.

Explanation / Answer

Coefficient of volumetric thermal expansion for aluminium = 69*10^-6

change in volume = 2/3* pi * [51/2]^3 * [39 - - 11]* 69*10^-6

= 1.2*10^2 m^3 answer

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