Problem

11 I point
Convert $4.72 \mathrm{cL}^{3}$ to $\mathrm{mL}^{3}$. Report answer to the correct number of significant figures and in scientific notation, in order for the answer to be marked correct.
You must put your answer in scientific notation in this format $1.2 * 10^{\wedge} 2$
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Answer

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Answer

\(\boxed{4.72 * 10^3 \, mL^3}\) is the final answer.

Steps

Step 1 :Understand the problem: We are asked to convert a volume from centiliters cubed (cL^3) to milliliters cubed (mL^3).

Step 2 :Conversion factor: We know that 1 cL = 10 mL. Therefore, 1 cL^3 = (10 mL)^3 = 1000 mL^3.

Step 3 :Calculation: We multiply the given volume in cL^3 by the conversion factor to get the volume in mL^3. \(4.72 \, cL^3 * 1000 \, mL^3/cL^3 = 4720 \, mL^3\)

Step 4 :Convert to scientific notation: 4720 in scientific notation is \(4.72 * 10^3\).

Step 5 :Check the result: The result is in mL^3 and in scientific notation, as required by the problem.

Step 6 :\(\boxed{4.72 * 10^3 \, mL^3}\) is the final answer.

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