A solid truncated cone has a circular cross section, and its diameter is related to the axial coordinate by an expression of the form $D = a x^{\frac{1}{1}}$ , where a $= 0.9 m^{? 1/2}$ . The sides are well insulated, while the upper surface of the cone at $x_{1}$ is heid at $T_{1}$ and the lower surface at $x_{2}$ is held at $T_{2}$ . Determine the thermal resistance, in $K / W$ , of the truncated cone made of copper $(k = 385 W / m ? K)$ when $x_{1} = 83 mm, T_{1}$ $= 10 9^{?} C x_{2} = 221 mm$ , and $T_{2} = 1 4^{?} C$ Correct your answer to three significant figures.

Question

A solid truncated cone has a circular cross section, and its diameter is related to the axial coordinate by an expression of the form

D = a x^{\frac{1}{1}}

, where a

= 0.9 m^{? 1/2}

. The sides are well insulated, while the upper surface of the cone at

x_{1}

is heid at

T_{1}

and the lower surface at

x_{2}

is held at

T_{2}

. Determine the thermal resistance, in

K / W

, of the truncated cone made of copper

(k = 385 W / m ? K)

when

x_{1} = 83 mm, T_{1}

= 10 9^{?} C x_{2} = 221 mm

, and

T_{2} = 1 4^{?} C

Correct your answer to three significant figures.

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