Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
[tex]m\propto h[/tex]
[tex]m=kh[/tex] ...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
[tex]525=k(5)[/tex]
[tex]\dfrac{525}{5}=k[/tex]
[tex]105=k[/tex]
Putting k=105 in (i), we get
[tex]m=105h[/tex]
Therefore, the required equation is [tex]m=105h[/tex].
