How much liquid will fit in the glass shown? Round your answer to the nearest hundredth.

Mathematics

1 answer:

nikitadnepr [17]3 years ago

5 0

Answer:

The cup can hold 497.17 in³ of liquid.

Step-by-step 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.

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