Question

Leslie made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 50 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Leslie made for her daughter. Use 3.14 to approximate .

Glass A with a height of 3 inches and a diameter of 2.25 inches is (large enough or to small) to contain the entire chocolate milkshake.

Glass B with a height of 4.25 inches and a radius of 2.4 inches is (large enough or to small) to contain the entire chocolate milkshake.

Glass C with a height of 7 inches and a radius of 1.3 inches is (large enough or to small) to contain the entire chocolate milkshake.

Answer 1

The answer is: glass A - too small, glass B - enough, glass C - too small.

Glasses are cylindrical. The volume of the cylinder is:
V = π r² h (r - radius, h - height)

Glass A:
h = 3 in
d = 2.25 in
r = d/2 = 2.25 / 2 = 1.125 in
____
V = 3.14 * 1.125² * 3 = 11.9 in³ < 50 in³
_____________________

Glass B:
h = 4.25 in
r = 2.4 in
____
V = 3.14 * 2.4² * 4.25 = 76.9 in³ > 50 in³
_______________________

Glass C:
h = 7 in
r = 1.3 in
____
V = 3.14 * 1.3² * 7 = 37.1 in³ < 50 in³
_______________________