To determine the best buy per cubic centimeter of perfume, we first need to calculate the volume of each bottle and then divide the price by the volume.
Cylindrical bottle:
Volume = π * r^2 * h
Volume = π * 6.2^2 * 12.04
Volume ≈ 1461.51 cubic cm
Price per cubic cm = $54.00 / 1461.51 ≈ $0.0369 per cubic cm
Conical bottle:
Volume = (1/3) * π * r^2 * h
Volume = (1/3) * π * 6.2^2 * 12.4
Volume ≈ 607.55 cubic cm
Price per cubic cm = $20.00 / 607.55 ≈ $0.0329 per cubic cm
Spherical bottle:
Volume = (4/3) * π * r^3
Volume = (4/3) * π * 6.2^3
Volume ≈ 957.68 cubic cm
Price per cubic cm = $35.00 / 957.68 ≈ $0.0366 per cubic cm
Therefore, the conical bottle is the best buy per cubic centimeter of perfume at approximately $0.0329 per cubic cm. It offers the most value for the amount of perfume you are getting.
The cylindrical bottle sells for $54.00, the conical bottle sells for $20.00 and the spherical bottle for $35. What is the best buy per cubic centimeter of perfume? Why?
cylindrical
Height: 12.04 cm
radius: 6.2 cm
conical
height: 12.4 cm
radius: 6.2
spherical
height: 12.04
radius: 6.2
1 answer