Q:

Leslie made a chocolate milkshake in the blender for her daughter milkshake occupies just a little more than 50 in.³ of space in the blender pitcher. when serving milkshake to her daughter she has three glasses to choose from, determine whether or not each of the three glasses is large enough to contain all of the chocolate milkshake that was made for her daughter . use 3.14 to approximate pi .Glass A. with a height of 4 inches and the diameter of 3.5 inches is too small or large enough...Glass B with a height of 5 inches and the radius of 1.9 inches is too small or large enough...Glass C with a height of 6 inches and the radius of 1.5 inches is...too small or large enough

Accepted Solution

A:
Answer:Glass A is too small, Glass B is large enough and Glass C is too small ....Step-by-step explanation:Glasses are cylindrical in shape. Thus the formula is:V = π r² hFor Glass A:r = d/2 = 3.5/2 r = 1.75h = 4 inchesNow substitute the values in the formula:V= 3.14*(1.75)^2 * 4V= 3.14*3.0625*4V= 38.465 in.³ < 50in.³For Glass B:V = π r² hwhere h = 5 inchesr = 1.9 inchesPlug the values in the formula:V=3.14*(1.9)^2*5V= 56.677 in³ > 50in³For Glass C:V = π r² hwhere h=6 inchesr = 1.5 inchesPlug the values in the formula:V= 3.14*(1.5)^2*6V= 42.39 in³ < 50 in³ Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....