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?
To determine the best buy per cubic centimeter of perfume, we need to compare the prices of the bottles relative to the volume of perfume they can hold.
Let's assume that the cylindrical bottle can hold V1 cubic centimeters of perfume, the conical bottle can hold V2 cubic centimeters of perfume, and the spherical bottle can hold V3 cubic centimeters of perfume.
The price per cubic centimeter of perfume for the cylindrical bottle is 54/ V1 dollars per cubic centimeter, for the conical bottle is 20/V2 dollars per cubic centimeter, and for the spherical bottle is 35/V3 dollars per cubic centimeter.
To compare the bottles, we need to find the bottle with the lowest price per cubic centimeter.
Now, let's consider the volume of each bottle:
For the cylindrical bottle, the volume is given by the formula V1 = πr^2h, where r is the radius and h is the height.
For the conical bottle, the volume is given by the formula V2 = (1/3)πr^2h, where r is the radius and h is the height.
For the spherical bottle, the volume is given by the formula V3 = (4/3)πr^3, where r is the radius.
Since we do not have the values of r and h for each bottle, we cannot directly compare the volume of each bottle. Therefore, we cannot determine the best buy per cubic centimeter of perfume without further information about the dimensions of each bottle.