A typical snow igloo (thermal conductivity about 1/10 of ice) is shaped like a h

Question

A typical snow igloo (thermal conductivity about 1/10 of ice) is shaped like a hemisphere of inner radius 1.5 m with 0.36-m thick walls.

What is the conductive heating rate through the walls if the inside temperature is 11 C and the outside temperature is -18 C ?
Hint: Use the conductive heating equation
HConduction=KA(T2T1)/l, where A is surface area, l is the distance that the thermal energy travels, and K is thermal conductivity. To calculate the surface area use the mean radius of the wall that is an average of inner and outer radii.

Express your answer to two significant figures and include the appropriate units.

answers are NOT 28.57, 328.5, 328.7, 57.14. Please do not reply if this is the answer you get!

Explanation / Answer

themal conductivity of ice =1.6

so thermal conductivity of snow igloo =0.16

area =A=2*pi*r2=2*3.14*(1.5)2 =14.13 m2

HConduction=KA(T2T1)/l =0.16*14.13(11+18)/0.36 =182.12 W

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