Find the value of $k$ if the point $(4, 5)$ passes through $x^{3} + y^{2} = k$

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Solution

Given point $(4, 5)$
Given equation is $x^{3} + y^{2} = k ⟹ 4^{3} + 5^{2} = k k = 64 + 25 = 89$

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