Answer:
The cup can hold 497.17 in³ of liquid.
Explanation:
The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.
Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³
Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³
Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³
The cup can hold 497.17 in³ of liquid.