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salantis [7]
3 years ago
13

Vinny is serving punch to guests at a party. He has 2/3 of a gallon of punch, and he pours 3/64 of a gallon into each guest's cu

p, filling each to the top. At the most, how many guests' cups can he fill to the top?
Mathematics
2 answers:
Nata [24]3 years ago
7 0
Divide 2/3 by 3/64 and you will get the number of cups of punch. It doesn't come out evenly, but that's the way to do this.there is a total of 2/3 gallon of punch. Each guests has a cup of 3/64 gallon of punch. Now many 3/64 gallon of punch can you fit in 2/3 gallon of punch, that will tell you how many guests there are. so naturally we want to divide<span> ( 2/3 ) / ( 3/64).</span>
Anit [1.1K]3 years ago
6 0

14 cups vinny needs to fill the max he can


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Hello!

First you have to find the volume of the cylinder

To find the volume of a cylinder you use the equation

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Put in the values you know and 3.14 for pi

V = 3.14 *  3^{2} * 7

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Multiply

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Next you find the volume of the sphere

To find the volume of a sphere you use the equation

V =  \frac{4}{3}  \pi  r^{3}

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Put in the values you know and 3.14 for pi

V =  \frac{4}{3} * 3.14 *  3^{3}

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V =  \frac{4}{3} * 3.14 * 27

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Finally you subtract the two volumes from each other

197.82 - 113.04 = 84.78
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The answer is C)84.78

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