# The height of a cylinder with constant volume is inversely proportional to the square of its radius. If h = 8 cm when r = 4 cm, what is r when h = 2 cm?

##### 1 Answer

#### Answer:

see the explanation..

#### Explanation:

This is what the above statement says about the **inverse relationship** between **HEIGHT** and **SQUARE OF RADIUS.**

Now in next step when removing the proportional sign **equal to sign** and multiply

*{where k is constant (of volume)}*

Putting the values of height and radius^2 we get;

Now we have calculated our constant value

Moving towards your question where radius is to be calculated.

Plugging the values into the equation:

*{r is for radius}*

Hence, for height of 2 cm with a constant of 128 we get the