Glass A measures 84 mm in diameter and 175 mm tall. Glass B measures 96 mm in diameter and 125mm tall. Which glass holds more liquid? How much more?

Answer 1

To calculate the volume of each glass, we can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.

For Glass A:
Radius = 84 mm / 2 = 42 mm
Volume = π(42)^2(175) = 980,100 mm^3

For Glass B:
Radius = 96 mm / 2 = 48 mm
Volume = π(48)^2(125) = 723,822 mm^3

Therefore, Glass A holds more liquid than Glass B by (980,100 - 723,822) = 256,278 mm^3.