Answer:
![V=7.91\ \text{inches}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/94e46mn5wbzcx49pn7i00zf37fe0tpeq76.png)
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 :
![V=(1)/(3)\pi r^2 h](https://img.qammunity.org/2021/formulas/mathematics/high-school/6uuu4qhn0vjvkqz2egme11n7075dwxlfqe.png)
Substituting the values of r and h
![V=(1)/(3)\pi * (1.375)^2 * 4\\\\=7.91\ \text{inches}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/buzfskufq5k0r1y8148hn8olq34zpvflee.png)
Hence, the volume of each drinking cups is
.