To find the decimal approximation of the volume of a cylinder given the volume in terms of \(\pi\) as \(63\pi , \text{cm}^3\), we'll use the approximation \(3.14\) for \(\pi\).
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Calculate the volume: \[ \text{Volume} \approx 63 \times 3.14 \]
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Perform the multiplication: \[ 63 \times 3.14 = 197.82 \]
Therefore, the decimal approximation for the volume of the cylinder is approximately \(197.82 , \text{cm}^3\).