Problem 3 (50 Points) The frustum of a cone has its base heated, as shown in...

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Problem 3 (50 Points) The frustum of a cone has its base heated, as shown in the figure below. The side is perfectly insulated. Surfaces (1) and (2) are assumed to be gray and diffuse, while surface (3) is black. What are the temperatures of surfaces (1), (2), and (3)? Frustum of a cone Surface (1) Surface (3) 83-1 A3 = 78.5 cm Surface (2) Perfectly insulated E: -0.8 A2-404.5 cm q = 3000 W/m 81 = 0.6 A =176.7 cm Problem 3 (50 Points) The frustum of a cone has its base heated, as shown in the figure below. The side is perfectly insulated. Surfaces (1) and (2) are assumed to be gray and diffuse, while surface (3) is black. What are the temperatures of surfaces (1), (2), and (3)? Frustum of a cone Surface (1) Surface (3) 83-1 A3 = 78.5 cm Surface (2) Perfectly insulated E: -0.8 A2-404.5 cm q = 3000 W/m 81 = 0.6 A =176.7 cm