Question

baking a cake
imagine you are preparing a cake using a cookbook factors. the recipe calls for 100 ml of water. fortunately, you do have a measuring cup 2 - cup, or 16 - fluid - ounce (oz), capacity and an empty can that once held 300 ml of juice. the measuring cup has markings for fluid ounces, and the level of precision is to the half - ounce. the capacity of the can looks smaller than the capacity of your measuring cup. neither the measuring cup nor the juice can is a perfect cylinder. the juice can is made of aluminum and is opaque, whereas the measuring cup is made of glass and is transparent. a ruler is also available

part a - develop your method

part b - establish the conversion factor for fluid ounces and milliliters
if 300 ml of water are poured into the measuring cup, the volume reading is 10.1 oz. this indicates that 300. ml and 10.1 oz are equivalent. how many milliliters are in a fluid ounce based on this data?
express your answer in milliliters to three significant figures.
view available hint(s)
1 fluid oz =
______ ml

Explanation:

Step1: Identify the given values

We know that 300. mL of water is equivalent to 10.1 fluid ounces (fl oz). We need to find the number of milliliters in 1 fluid ounce.

Step2: Set up the conversion factor

To find the number of milliliters in 1 fl oz, we can use the ratio of milliliters to fluid ounces. The formula is:
\[
\text{Milliliters per fluid ounce} = \frac{\text{Volume in milliliters}}{\text{Volume in fluid ounces}}
\]
Substituting the given values:
\[
\text{Milliliters per fluid ounce} = \frac{300. \, \text{mL}}{10.1 \, \text{fl oz}}
\]

Step3: Calculate the result

Performing the division:
\[
\frac{300.}{10.1} \approx 29.70297 \, \text{mL/fl oz}
\]
Rounding to three significant figures, we get \( 29.7 \, \text{mL/fl oz} \).

Answer:

\( 29.7 \)