Answer:
The volume of the cup is of 251 cubic centimeters.
Step-by-step explanation:
The volume of a cone is given by the following equation:
[tex]V = \frac{h\pi r^{2}}{3}[/tex]
In which h is the height and r is the radius(half the diameter).
In this question:
Diameter of 8 cm, so [tex]r = \frac{8}{2} = 4[/tex]
Height of 15 c, so [tex]h = 15[/tex]
The dimensions are in centimeters, so the volume will be in cubic centimeters.
Volume:
[tex]V = \frac{15*\pi*(4)^{2}}{3} = 251.3[/tex]
Rounding to the nearest whole cubic centimeter.
The volume of the cup is of 251 cubic centimeters.