Answer
See the explanation below.
Work Step by Step
The disk and washer methods for determining the volumes $V$ of a solid of integrable cross-sectional area $A(x)$ can be defined as:
1. Disk Method: The volume $V$ of a solid of integrable cross-sectional area $A(x)$ of a circular disk of radius $R(x)$ from $x=m$ to $x=n$ can be defined as the integral of $R(x)$ from $m$ to $n$ and expressed as: $V=\int_m^n \pi [R(x)]^2 \ dx$
2. Washer Method: The volume $V$ of a solid of integrable cross-sectional area $A(x)$ perpendicular to the axis of revolution of an outer radius $R(x)$ and inner radius $r(x)$ from $x=m$ to $x=n$ can be defined as the integral of $R(x)$ from $m$ to $n$ and expressed as: $V=\int_m^n \pi ([R(x)]^2-[r(x)]^2) \ dx$