Question

H is inversely proportion to the cube of g. h=4.5 when g=2 find the formula for h in the term of g and find the value of g when h=32/3​

Answer 1

The value of g is 2.201

• They are considered to be inversely proportionate when one quantity's value rises relative to another's decline or vice versa. It implies that the two quantities behave inherently differently. For instance, time and speed have an inverse relationship. The time decreases as you increase the speed. Inverse proportion, fluctuating inversely, inverse variation, and reciprocal proportion are other names used here to describe this kind of percentage.
• We study quantities in both physics and mathematics. Some quantities are referred to as proportional to one another since they are dependent on one another. In other words, when two variables change in proportion to one another, they both change by the same fixed amount. The term proportionality refers to this characteristic of variables.

Here, it is given that,

H is inversely proportional to the cube of g.

This means that,

H ∝ $\frac{1}{g^{3} }$

Then, when H = 4.5 and g = 2, we have,

4.5 ∝ $\frac{1}{8}$

When H = $\frac{32}{3}$, g = ∛H = $\frac{3.17}{1.44} =2.201$

Hence, the value of g is 2.201

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