To determine the best buy per cubic centimeter of perfume, we need to calculate the volume of each bottle and divide the price by the volume.
Cylindrical bottle:
The price is $54.00 and the bottle is cylindrical, so its volume can be calculated using the formula for the volume of a cylinder: V = π * r^2 * h, where r is the radius and h is the height.
Assuming the radius of the bottle is r = 5 cm and the height is h = 10 cm, the volume would be:
V = π * (5 cm)^2 * 10 cm ≈ 785.4 cm^3
The price per cubic centimeter would be:
$54.00 / 785.4 cm^3 ≈ $0.07/cm^3
Conical bottle:
The price is $20.00 and the bottle is conical, so its volume can be calculated using the formula for the volume of a cone: V = (1/3) * π * r^2 * h, where r is the radius and h is the height.
Assuming the radius of the cone is r = 4 cm and the height is h = 8 cm, the volume would be:
V = (1/3) * π * (4 cm)^2 * 8 cm ≈ 134.04 cm^3
The price per cubic centimeter would be:
$20.00 / 134.04 cm^3 ≈ $0.15/cm^3
Spherical bottle:
The price is $35.00 and the bottle is spherical, so its volume can be calculated using the formula for the volume of a sphere: V = (4/3) * π * r^3, where r is the radius.
Assuming the radius of the sphere is r = 3 cm, the volume would be:
V = (4/3) * π * (3 cm)^3 ≈ 113.04 cm^3
The price per cubic centimeter would be:
$35.00 / 113.04 cm^3 ≈ $0.31/cm^3
Comparing the prices per cubic centimeter, we can see that the cylindrical bottle is the best buy with $0.07/cm^3. It has the lowest price per unit volume among the three options.
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?
3 answers
Can you shorten that to 6 sentences please
The cylindrical bottle has a price of $54.00 and a volume of approximately 785.4 cm^3. This results in a price per cubic centimeter of approximately $0.07/cm^3. The conical bottle has a price of $20.00 and a volume of about 134.04 cm^3, yielding a price per cubic centimeter of around $0.15/cm^3. The spherical bottle is priced at $35.00 with a volume of approximately 113.04 cm^3, resulting in a price per cubic centimeter of roughly $0.31/cm^3. Comparing these prices per cubic centimeter, the cylindrical bottle offers the best value due to its lower price per unit volume.