PROBLEM: A potter plans to create new vases to hold small flowers for an event. The designer decided to use stoneware clay. The vase will be shaped such that the profile is as shown in the figure below. After throwing on the wheel and shaping $($the profile is revolved completely along the $y-$axis$),$ the vases will be bisque fired to increase its durability. Once bisque firing is done, the vases will be glazed for design and water proofing. To prepare for the process, determine the following:

a$.$ Volume of stoneware clay needed to create one vase

b$.$ Mass of the stoneware clay needed to create one vase $({}_{\text{s}\text{t}\text{o}\text{n}\text{e}\text{w}\text{a}\text{r}\text{e}\text{c}\text{l}\text{a}\text{y}}=2\mathrm{.}4\frac{g}{c}{m}^3)$

c$.$ The area of one vase to be waterproofed

d$.$ Mass of glazed needed to cover one vase provided the thickness of glazes is $3$ mm $.$