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25 June, 00:30

A drinking glass is shaped like a cylinder with a height of 5 in. and a diameter of 3 in. Maeva adds 25 spherical pieces of ice to the glass. The pieces of ice each have a diameter of 1.1 in.

How many cubic inches of water can Maeva add to fill the glass to the rim? Use 3.14 to approximate pi and round your answer to one decimal place.

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  1. 25 June, 00:52
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    First find volume of glass

    find volume of ice

    subtract

    cylinder area=height times are of base

    height=5

    area of base=circle=pi times radius^2

    diameter=2radius

    diameter/2=radius

    3/2=radius=1.5

    pi=aprox 3.14

    3.14 times 1.5^2=7.065

    7.065 times 5=35.325=volume of glass

    25 spereical ice

    volume of shqere=4/3 times pi timers r^3

    diameter/2=r

    1.1/2=0.55

    4/3 times 3.14 times 0.55^3=0.696557=1 ice

    multiply by 25

    17.4139

    subtract

    35.325-17.4139=17.9111

    round to one decimal place

    17.9

    the answer is 17.9 cubic inches or

    17.9 in^3
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