The cylindrical bottle sells for $54.00, the conical bottle sells for $20.00 and the spherical bottle for $35.00. What is the best buy per cubic centimeter of perfume? Show work AND explain your reasoning.
Cylinder - V=1497.4589878895 cm^3
Cone - V=499.15299596317 cm^3
Sphere - V=998.30599192633 cm^3
You want the unit price for each bottle
that is,
divide the cost by its corresponding volume.
unit cost of cylindrical bottle = $54/ 1497.45... cm^3 =
(why the ridiculous accuracy of the volumes ? Your answer is
in dollars, which need only 2 decimal places)
To find the best buy per cubic centimeter of perfume, we need to divide the cost of each bottle by its volume.
For the cylindrical bottle:
Cost = $54.00
Volume = 1497.4589878895 cm^3
Cost per cm^3 = 54 / 1497.4589878895 = $0.036
For the conical bottle:
Cost = $20.00
Volume = 499.15299596317 cm^3
Cost per cm^3 = 20 / 499.15299596317 = $0.04
For the spherical bottle:
Cost = $35.00
Volume = 998.30599192633 cm^3
Cost per cm^3 = 35 / 998.30599192633 = $0.035
Comparing the cost per cm^3 for each bottle, we can see that the cylindrical bottle has the lowest cost per cm^3 at $0.036. Therefore, the cylindrical bottle is the best buy per cubic centimeter of perfume.
To find the best buy per cubic centimeter of perfume, we need to calculate the cost per cubic centimeter for each bottle type.
1. For the cylindrical bottle:
Cost per cubic centimeter = $54.00 / 1497.4589878895 cm^3
2. For the conical bottle:
Cost per cubic centimeter = $20.00 / 499.15299596317 cm^3
3. For the spherical bottle:
Cost per cubic centimeter = $35.00 / 998.30599192633 cm^3
Now, let's calculate the values:
1. Cylindrical bottle:
Cost per cubic centimeter = $54.00 / 1497.4589878895 cm^3
= $0.0361/cm^3
2. Conical bottle:
Cost per cubic centimeter = $20.00 / 499.15299596317 cm^3
= $0.0401/cm^3
3. Spherical bottle:
Cost per cubic centimeter = $35.00 / 998.30599192633 cm^3
= $0.0351/cm^3
Now, we can compare the cost per cubic centimeter for each bottle type.
The cylindrical bottle has a cost per cubic centimeter of $0.0361.
The conical bottle has a cost per cubic centimeter of $0.0401.
The spherical bottle has a cost per cubic centimeter of $0.0351.
From the calculations, we can see that the spherical bottle has the lowest cost per cubic centimeter of perfume. Therefore, the spherical bottle is the best buy per cubic centimeter of perfume.
Reasoning:
To find the best buy per cubic centimeter, we divide the cost of each bottle by its volume (in cubic centimeters). This gives us the cost per cubic centimeter. The lower the cost per cubic centimeter, the better the value. In this case, the spherical bottle has the lowest cost per cubic centimeter, making it the best buy.