please solve with work much appreciated

Answer:
[tex]293,148\ mm^2[/tex]
Step-by-step explanation:
The cup has cylivdrical shape. Find the volume of the cylinder using formula
[tex]V=\pi r^2h,[/tex]
where
r = base radius
h = height
In your case,
r = 36 mm
h = 72 mm
then
[tex]V=\pi \cdot 36^2\cdot 72=93,312\pi \ mm^2\approx 293,148\ mm^2[/tex]