<p>The volume of the solid formed when the region bounded by the curve \(y = e^{x} - k\), the \(x\)-axis and the line \(x = \ln 3\) is rotated about the \(x\)-axis is \(\pi \ln 3\) cubic units. <br>Given that&nbsp;\(0 &lt; k &lt; 3\), find the value of \(k\).</p>

The volume of the solid formed when the region bounded by the curve \(y = e^{x} - k\), the \(x\)-axis and the line \(x = \ln 3\) is rotated about the \(x\)-axis is \(\pi \ln 3\) cubic units. 
Given that \(0 < k < 3\), find the value of \(k\).

Volume of Revolution about the x-axis

Applications of Intergration

International Baccalaureate Higher Level Mathematics

Volume of revolution about x-axis

Volume of revolution about x-axis