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? whats the best answer

Answer 1

To determine the best buy per cubic centimeter of perfume among the cylindrical, conical, and spherical bottles, we need to calculate the volume of each bottle shape, and then find the price per cubic centimeter.

1. Volume calculation:

• Cylindrical bottle:
  The volume $V$ of a cylinder is given by the formula: $$V=\pi r^{2}h$$ where $r$ is the radius and $h$ is the height. Without specific dimensions, we'll denote the volume of the cylindrical bottle as $V_c$.

• Conical bottle:
  The volume $V$ of a cone is given by the formula: $$V=\frac{1}{3}\pi r^{2}h$$ Again, we'll denote its volume as $V_{co}$.

• Spherical bottle:
  The volume $V$ of a sphere is given by the formula: $$V=\frac{4}{3}\pi r^3$$ We will denote the volume of the spherical bottle as $V_s$.

2. Price per cubic centimeter:

Next, calculate the cost per cubic centimeter using the volumes we have denoted above.

• Cylindrical bottle ($54.00): $$\text{Price per cc}=\frac{54.00}{V_c}$$

• Conical bottle ($20.00): $$\text{Price per cc}=\frac{20.00}{V_{co}}$$

• Spherical bottle ($35.00): $$\text{Price per cc}=\frac{35.00}{V_s}$$

3. Conclusion:

To make a determination about the best buy, we need more specific information about the dimensions (such as radius and height) of each bottle, or their computed volumes.

If the volumes of each shape were provided, we could plug them into our equations to find the respective prices and compare:

• Calculate the price per cubic centimeter for each bottle type.
• The bottle with the lowest price per cubic centimeter would be the best buy.

Without specific values for the volumes, we can't complete the calculation. If specific dimensions are provided, please share them, and I'll help further calculate the best buy!