To find the volume of a water bottle shaped like a cylinder, you can use the formula for the volume of a cylinder:
Volume = π * (radius)^2 * height
In this case, the height is given as 7 inches and the diameter is given as 10 inches.
The radius is half of the diameter, so you can find it by dividing the diameter by 2:
Radius = 10 inches / 2 = 5 inches
Now you can substitute the values into the formula and calculate the volume:
Volume = π * (5 inches)^2 * 7 inches
= π * 25 square inches * 7 inches
≈ 3.14159 * 25 * 7
≈ 549.779 in³
Therefore, the volume of the water bottle is approximately 549.779 cubic inches.