The volume of the solid formed when the region bounded by the curve $y = e^{x} - k$, the $x$-axi

Question

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 $k$.

Accepted Answer

$k=1$.

Volume of revolution about x-axis

Volume of revolution about x-axis

Solution:

Solution locked