Problem $1\mathrm{.}59$ Check the divergence theorem for the function

$v=r^{2}sinhat(r)+4r^{2}coshat()+r^{2}tanhat()$

using the volume of the "ice$-$cream cone" shown in Fig. $1\mathrm{.}52($the top surface is spherical, with radius $R$ and centered at the origin$).[$Answer: $3\sqrt[\phantom{2}]{3}]$