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Answer :

Answer: [tex]V=216.64\ in.^3[/tex]

Step-by-step explanation:

Given

Height of cup [tex]h=10.2\ inch.[/tex]

radius of cup [tex]r=2.6\ inch.[/tex]

assume the cup is in the shape of a cylinder

The volume of the cylinder is [tex]\pi r^2h[/tex]

Put the values

[tex]\Rightarrow V=\pi \times 2.6^2\times 10.2\\\Rightarrow V=216.64\ in.^3[/tex]