Hemisphere Minus Cone: Surface Area, Volume & Mass Application

A container in the form of a hemisphere of radius \(10.8\) cm has a conical part removed as shown in the diagram.

1. Calculate the
   1. slant height of the cone,
   2. total surface area of the container.
2. Show that the volume of the container is \(1319\) cm\(^{3}\), correct to the nearest cm\(^{3}\).
3. The container is made of a metal alloy. Given that the density of the alloy is \(5\)g/cm\(^{3}\), find the mass of the container correct to the nearest kg.