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The paper water cups provided near the water jug are cones of radius 1.51.51, point, 5 centimeters (\text{cm})(cm)(, start text, c, m, end text, )and height 2\, \text{cm}2cm2, start text, c, m, end text. Your water bottle is a cylinder of radius 1.5\,\text{cm}1.5cm1, point, 5, start text, c, m, end text and height 4\, \text{cm}4cm4, start text, c, m, end text. How many full paper cups of water would you have to drink to get the same amount of water as one full water bottle

Respuesta :

Answer:

The answer is "6 paper cups".

Step-by-step explanation:

Calculating the volume of cone:

[tex]V=\pi r^2 \frac{h}{3}[/tex]

   [tex]=3.14 \times 1.5^2 \times \frac{2}{3}\\\\=4.71239[/tex]

Calculating the volume of cylinder:

[tex]V=\pi r^2h[/tex]

   [tex]=3.14 \times 1.5^2 \times 4\\\\=28.27433[/tex]

Calculating the paper water cups:

[tex]=\frac{28.27433}{4.71239}\\\\= 5.99999788\\\\=6[/tex]

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