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he radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters. The number of times one needs to use the completely filled cone to completely fill the cylinder with water is?

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LammettHash
Volume of cylinder: [tex]V_{\text{cyl}}=\pi r^2h[/tex], where [tex]r[/tex] is the radius and [tex]h[/tex] is the height. This volume is [tex]\pi\times10^2\times20=2000\pi[/tex] (cubic cm).

Volume of cone: [tex]V_{\text{cone}}=\dfrac13\pi r^2h[/tex], with the same variables denoting the same parameters. This volume is [tex]\dfrac13\pi\times5^2\times10=\dfrac{250}3\pi[/tex] (also cubic cm).

The number of times it would take to fill the cylinder with water using the cone as a source would be

[tex]\dfrac{2000\pi}{\dfrac{250}3\pi}=24[/tex]

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