Where r = radius of the base of the cone
h = height (perpendicular height) of the cone
for this figure, r = 4.5cm, h = 6cm
Its volume is calculated by :
[tex]\begin{gathered} \text{ V= }\frac{1}{3}\text{ x 3.14 x 4.5 x 4.5 x 6} \\ \text{ V = }127.17\operatorname{cm}^3 \end{gathered}[/tex]From the options, the closest to the maximum volume of water the cup can hold is 127cm^3