Answer:
1177.58 cm³
Explanation:
The volume of a sphere is given by V = (4/3)πr³. In this case, if the width (diameter) of the cup is 16.51cm, then the radius is 8.255 cm. So the volume of the cup, if it were a sphere, would be:
V = (4/3) * 3.14 * (8.255)³ ≈ 2355.1557 cm³
But since this is a hemisphere (i.e., half a sphere), we cut that value in half to get the volume of the cup:
2355.1557 / 2 ≈ 1177.58 cm³