Answer:
The volume of the cup is of 142.2 cubic centimeters.
Step-by-step explanation:
The cone volume is given by the following equation:
[tex]V = \frac{\pi r^{2}h}{3}[/tex]
In which r is the radius, which is half the diameter, and h is the height.
In this question:
Dimensions in cm, so the volume will be in cubic centimers.
Height of 10 cm, so [tex]h = 10[/tex]
Diameter of [tex]7 + \frac{3}{8} = \frac{7*8 + 3}{8} = \frac{59}{8} = 7.375[/tex]
So the radius is [tex]r = \frac{7.375}{2} = 3.6875[/tex]
Volume of the cup:
[tex]V = \frac{\pi*(3.6875)^{2}*10}{3} = 142.4[/tex]
The volume of the cup is of 142.2 cubic centimeters.
