Question

This is going to be my 13th reason please help me

Answer 1

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

$V \propto h$

$V = k\cdot h$ (1)

Where:

$V$ - Volume of the cylinder, in cubic feet.

$h$ - Height of the cylinder, in feet.

$k$ - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

$k = \pi \cdot R^{2}$ (2)

Where $R$ is the radius of the cylinder, in feet.

If we know that $h = 9\,ft$ and $V = 28.26\,ft^{2}$, then the radius of the cylinder is:

$k = \frac{V}{h}$

$k = 3.14$

$R = \sqrt{\frac{k}{\pi} }$

$R \approx 1\,ft$

The radius of these cylinders is approximately 1 foot.