Answer:
To find the radius of the water bottle, we can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Plugging in the given values, we have:
205 = 3.14 x r^2 x h
We also know that the height of the water bottle is 7.9 cm. Substituting this value, we get:
205 = 3.14 x r^2 x 7.9
Simplifying and solving for r, we get:
r^2 = 205 / (3.14 x 7.9)
r^2 = 6.75
r ≈ 2.6 cm
Therefore, the radius of the water bottle is approximately 2.6 cm.