14. Drew and Beau each brought a cylindrical water bottle to football practice. Drew's water bottle has a diameter of 3 inches and a height of 7 inches. Beau's water bottle has a radius of 2 inches and a height of 9 inches. Whose water bottle holds more water?

To find out whose water bottle holds more water, we need to calculate the volume of both cylindrical bottles using the formula \( V = \pi r^2 h \). For Drew's bottle, the diameter is 3 inches, so the radius \( r \) is 1.5 inches. Thus, the volume of Drew's bottle is: \[ V = \pi (1.5)^2 (7) \approx \pi \times 2.25 \times 7 \approx 15.75\pi \text{ cubic inches.} \] For Beau's bottle, the radius is 2 inches and the height is 9 inches. So, the volume of Beau's bottle is: \[ V = \pi (2)^2 (9) = \pi \times 4 \times 9 = 36\pi \text{ cubic inches.} \] Comparing the two, we find that Beau's bottle holds more water. Specifically, Drew's is approximately 15.75π cubic inches, while Beau's is 36π cubic inches. So, Beau’s water bottle is the bigger winner in holding H2O!