Chapter 13.5, Problem 59E

Mass from density Find the mass of the following solids with the given density functions. Note that density is described by the function f to avoid confusion with the radial spherical coordinate ρ.

59.    The solid cylinder $\left\{\left(r,\theta ,z\right):0\le r\le 2,0\le \theta \le 2\pi ,-1\le z\le 1\right\}$ with a density of f(r, θ, z) = (2 – |z|)(4 – r)