Question

The label on a small soda bottle lists the volume of the drink as $355 \mathrm{mL}$. (a) How many fluid ounces are in the bottle? A competitor's drink is labeled \(16.0 \mathrm{fl}\) oz. (b) How many milliliters are in that drink?

Short answer

Question: Convert 355 mL to fluid ounces and then convert 16.0 fluid ounces back to milliliters. Answer: Approximately 12.0 fluid ounces and 473.2 milliliters, respectively.

Step-by-step solution

Write down the conversion factor.

The conversion factor between milliliters and fluid ounces is 1 fluid ounce = 29.57353 mL. We will use this conversion factor to convert the given volume of soda from milliliters to fluid ounces.

Set up the conversion equation.

To convert the volume from mL to fluid ounces, we need to multiply the given volume in milliliters (355 mL) by the conversion factor, which is the reciprocal of 29.57353 mL/fl oz. Volume (fl oz) = Volume (mL) × (1 fl oz / 29.57353 mL)

Calculate the volume in fluid ounces.

Now, we can plug the given volume (355 mL) into the equation and solve for the volume in fluid ounces: Volume (fl oz) = 355 mL × (1 fl oz / 29.57353 mL) ≈ 12.0 fl oz So, there are approximately 12.0 fluid ounces in the bottle. #b) Convert 16.0 fluid ounces to milliliters.#

Write down the conversion factor.

As we already know, the conversion factor between fluid ounces and milliliters is 1 fluid ounce = 29.57353 mL. We will use this conversion factor to convert the given volume of soda from fluid ounces to milliliters.

Set up the conversion equation.

To convert the volume from fluid ounces to milliliters, we need to multiply the given volume in fluid ounces (16.0 fl oz) by the conversion factor 29.57353 mL/fl oz. Volume (mL) = Volume (fl oz) × (29.57353 mL / 1 fl oz)

Calculate the volume in milliliters.

Now, we can plug the given volume (16.0 fl oz) into the equation and solve for the volume in milliliters: Volume (mL) = 16.0 fl oz × (29.57353 mL / 1 fl oz) ≈ 473.2 mL So, there are approximately 473.2 milliliters in the competitor's drink.