To convert the height of the cup from inches to centimeters, we need to use the given conversion factor, which is 1 inch being equivalent to 2.54 centimeters.
Here are the steps to solve this problem:
1. Identify the given height in inches: The height of the cup is 6.00 inches.
2. Identify the conversion factor: 1 inch is equal to 2.54 centimeters.
3. Multiply the height in inches by the conversion factor:
[tex]\[
\text{Height in centimeters} = \text{Height in inches} \times \text{Conversion factor}
\][/tex]
So,
[tex]\[
\text{Height in centimeters} = 6.00 \, \text{inches} \times 2.54 \, \text{cm/inch}
\][/tex]
By performing this multiplication, we find the height in centimeters:
[tex]\[
6.00 \times 2.54 = 15.24 \, \text{cm}
\][/tex]
Thus, the height of the cup in centimeters is \( 15.24 \) cm.
Therefore, the correct answer is:
B. [tex]\( 15.2 \, \text{cm} \)[/tex]
