Final answer:
To find the volume of the water bottle, one can use the formula for the volume of a cylinder, V = πr²h. With a radius of 4 inches and a height of 16 inches, the volume is calculated to be approximately 804.25 cubic inches.
Step-by-step explanation:
The volume of a cylindrical water bottle can be calculated using the formula for the volume of a cylinder, which is V = πr²h. Here, 'r' represents the radius of the cylinder's base, and 'h' represents the height of the cylinder. Given the radius of 4 inches and the height of 16 inches, the volume (V) can be calculated by plugging these values into the formula:
V = π × (4 inches)² × 16 inches
First, compute the area of the base (circle):
Base Area = π × (4 inches)² = π × 16 inches² = 50.2656 inches² (approximating π as 3.1416)
Now, multiply the base area by the height to find the volume:
V = 50.2656 inches² × 16 inches = 804.2496 cubic inches
Therefore, the volume of the water bottle is approximately 804.25 cubic inches.