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:
[tex]V \propto h[/tex]
[tex]V = k\cdot h[/tex] (1)
Where:
[tex]V[/tex] - Volume of the cylinder, in cubic feet.
[tex]h[/tex] - Height of the cylinder, in feet.
[tex]k[/tex] - Proportionality constant, in square feet.
Besides, the proportionality constant is described by this expression:
[tex]k = \pi \cdot R^{2}[/tex] (2)
Where [tex]R[/tex] is the radius of the cylinder, in feet.
If we know that [tex]h = 9\,ft[/tex] and [tex]V = 28.26\,ft^{2}[/tex], then the radius of the cylinder is:
[tex]k = \frac{V}{h}[/tex]
[tex]k = 3.14[/tex]
[tex]R = \sqrt{\frac{k}{\pi} }[/tex]
[tex]R \approx 1\,ft[/tex]
The radius of these cylinders is approximately 1 foot.
