Answer:
[tex]V=7.91\ \text{inches}^3[/tex]
Step-by-step explanation:
An office uses paper drinking cups in the shape as attached.
The diameter of the cup = 2 3/4 inches
= 11/4 inches
The height of the cup, h = 4 inches
The radius of the cup, r = 1.375 inches (As r = d/2)
We need to find the volume of the drinking cup. It is in the shape of a cone. The volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Substituting the values of r and h
[tex]V=\dfrac{1}{3}\pi \times (1.375)^2 \times 4\\\\=7.91\ \text{inches}^3[/tex]
Hence, the volume of each drinking cups is [tex]7.91\ \text{inches}^3[/tex].