Current Attempt in Progress

$($a$)$ A $10\mathrm{.}0-$mm$-$diameter Brinell hardness indenter produced an indentation $2\mathrm{.}7$ mm in dialmeter in a steel alloy when a load of $1000$ kg was used. Compute the HB of this material.

$($b$)$ What will be the diameter of an indentation to yield a hardness of $310$ HB when a $500-kg$ load is used?

$($a$)$

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$($b$)$ mm