Answer:
The radius of these cylinders is approximately 1 foot.
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](https://img.qammunity.org/2022/formulas/mathematics/high-school/p66b40rjgyagowlxu4ut4blj8rxwhf3kx9.png)
(1)
Where:
- Volume of the cylinder, in cubic feet.
- Height of the cylinder, in feet.
- Proportionality constant, in square feet.
Besides, the proportionality constant is described by this expression:
(2)
Where
is the radius of the cylinder, in feet.
If we know that
and
, then the radius of the cylinder is:
![k = (V)/(h)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ady7dh45lbltps8v4429r06a79h8hgvgrv.png)
![k = 3.14](https://img.qammunity.org/2022/formulas/mathematics/high-school/lf8efc9ty1jllxue6a7jse8l4hfs9fl8lm.png)
![R = \sqrt{(k)/(\pi) }](https://img.qammunity.org/2022/formulas/mathematics/high-school/lngptwcc9c94am2z3ukdeu3ct7ahcuc3yd.png)
![R \approx 1\,ft](https://img.qammunity.org/2022/formulas/mathematics/high-school/tj2aehxu72iny6nkc1otrqeg7h4kjnsq8l.png)
The radius of these cylinders is approximately 1 foot.