Answer:
[tex]2.5[/tex]
Step-by-step explanation:
[tex]\text{Solution, }\\\text{Given, }\\M\ \alpha\ h^3\\\text{or, }M=kh^3\ \ \ [\text{where }k\text{ is a proportionality constant.}][/tex]
[tex]\text{We have, }M=4\text{ and }h=0.5.\\\text{Substituting them in, }\\4=k(0.5)^3\\\text{or, }k=\dfrac{4}{0.5^3}\\\\\therefore\ k=32[/tex]
[tex]\text{Again, }\\M=500,\ h=?,\ k=32\\\text{Now, }\\M=kh^3\\\text{or, }500=32h^3\\\\\text{or, }h^3=\dfrac{125}{8}\\\\\text{or, }h=\dfrac{5}{2}=2.5[/tex]
