Chapter 13.5, Problem 58E

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.

58.    The solid cone $\left\{\left(r,\theta ,z\right):0\le z\le 4,0\le r\le \sqrt{3}z,0\le \theta \le 2\pi \right\}$ with density f(r, θ, z) = 5 – z