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 cm3
Cone- V=499.15299596317 cm3
Sphere- V=998.30599192633 cm3
just compare cost/volume
did you get the sphere, cylinder, and cone question right
Well, let's first calculate the price per cubic centimeter for each bottle.
For the cylindrical bottle:
Price per cubic centimeter = $54.00 / 1497.4589878895 cm^3 ≈ $0.03603/cm^3
For the conical bottle:
Price per cubic centimeter = $20.00 / 499.15299596317 cm^3 ≈ $0.04009/cm^3
For the spherical bottle:
Price per cubic centimeter = $35.00 / 998.30599192633 cm^3 ≈ $0.03510/cm^3
Now, let's analyze the results.
The best buy per cubic centimeter of perfume is the cylindrical bottle, with a price of approximately $0.03603/cm^3.
Even though the conical bottle seems cheaper initially, it has a higher price per cubic centimeter. So, it is not the best buy when we consider the volume of the perfume.
The spherical bottle has a slightly lower price per cubic centimeter compared to the cylindrical bottle, but with such a minimal difference, it doesn't outweigh the lower price of the cylindrical bottle.
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 divide the price of each bottle by its respective volume.
For the cylindrical bottle:
Price = $54.00
Volume = 1497.4589878895 cm³
Price per cubic centimeter = Price / Volume = $54.00 / 1497.4589878895 cm³ = $0.03609/cm³
For the conical bottle:
Price = $20.00
Volume = 499.15299596317 cm³
Price per cubic centimeter = Price / Volume = $20.00 / 499.15299596317 cm³ = $0.04006/cm³
For the spherical bottle:
Price = $35.00
Volume = 998.30599192633 cm³
Price per cubic centimeter = Price / Volume = $35.00 / 998.30599192633 cm³ = $0.03509/cm³
Comparing the price per cubic centimeter for each bottle, we can see that the cylindrical bottle has the lowest price per cubic centimeter, making it the best buy per cubic centimeter of perfume.
To determine the best buy per cubic centimeter of perfume, we need to calculate the price per cubic centimeter of each bottle. We can divide the cost of each bottle by its volume to find the price per cubic centimeter.
For the cylindrical bottle:
Price = $54.00
Volume = 1497.4589878895 cm^3
Price per cubic centimeter = Price / Volume = $54.00 / 1497.4589878895 cm^3
For the conical bottle:
Price = $20.00
Volume = 499.15299596317 cm^3
Price per cubic centimeter = Price / Volume = $20.00 / 499.15299596317 cm^3
For the spherical bottle:
Price = $35.00
Volume = 998.30599192633 cm^3
Price per cubic centimeter = Price / Volume = $35.00 / 998.30599192633 cm^3
Now, let's calculate the price per cubic centimeter for each bottle:
For the cylindrical bottle:
Price per cubic centimeter = $54.00 / 1497.4589878895 cm^3 ≈ $0.03606/cm^3
For the conical bottle:
Price per cubic centimeter = $20.00 / 499.15299596317 cm^3 ≈ $0.04009/cm^3
For the spherical bottle:
Price per cubic centimeter = $35.00 / 998.30599192633 cm^3 ≈ $0.03509/cm^3
Now, let's compare the price per cubic centimeter for each bottle. The lowest value represents the best buy per cubic centimeter of perfume.
Based on the calculations:
- The cylindrical bottle has a price per cubic centimeter of $0.03606/cm^3
- The conical bottle has a price per cubic centimeter of $0.04009/cm^3
- The spherical bottle has a price per cubic centimeter of $0.03509/cm^3
Therefore, the spherical bottle has the lowest price per cubic centimeter and is the best buy per cubic centimeter of perfume.