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The temperature of the sphere B = ( {x, y, z} R 3 | x 2 + y 2 + z 2 ) depends only

The temperature of the sphere B = ( {x, y, z} R3| x2 + y2 + z2 ) depends only on the radial variable "r" in the form T(r) = 100 ra, where 0 r 1.

Task: At which value of the parameter a > 0 for the average temperature of the ball is this valid:

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