Drew and beau both have cylindrical water bottles . Drew water bottle has a diameter of 6 and the height of 7 inches . Beaus water has a diameter of 4 inches and a height of 9 inches who'd water bottle holds more and how much more water does it hold

Respuesta :

Answer:

Drew's water bottle holds more.

1.39 L.

Step-by-step explanation:

The volume of a cylinder is calculated with the equation:

V = h*pi*d^2/4

where V is the volume, h is the height and d is the diameter.

The volume of Drew's water bottle is:

V_Drew = 7 * pi * 6^2 / 4 = 197.92 in3

The volume of Beau's water bottle is:

V_Beau = 9 * pi * 4^2 / 4 = 113.097 in3

The Drew's water bottle holds more water.

The difference of volume between the bottles is

V_Drew - V_Beau = 197.92 - 113.097 = 84.823 in3

One cubic inch is equal to 0.0163871 liter of water, so 84.823 in3 is equal to 84.823*0.0163871 = 1.39 liter of water.

So Drew's bottle can hold 1.39 liter of water more than Beau's bottle.