Question

h is inversely proportional to the cube of g. h = 4.5 and g = 2. find the formula of h in terms of g​

Answer 1

Answer:

If h is inversely proportional to the cube of g and given h= 4.5 and g = 2, then the formula for h in terms of g is :

h = $\frac{36}{g^{3} }$

Step-by-step explanation:

Given

h is inversely proportional to ${g^{3} }$

That is h∝ $\frac{1}{g^{3} }$

That is h= k* $\frac{1}{g^{3} }$

Wher k is a constant

Given h = 4.5 and g= 2

Substitute for h and g in the equation h= k* $\frac{1}{g^{3} }$

4.5=k* $\frac{1}{2^{3} }$

k = 4.5* $2^{3}$

k = 4.5*8 = 36

Hence the formula for h in terms of g is:

h = 36 * $\frac{1}{g^{3} }$

h = $\frac{36}{g^{3} }$