Mathematics

Question

The 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

1 Answer

  • Answer:

    24 times

    Step-by-step explanation:

    cylinder volume = πr²h = 10² x 20 x π = 2000π

    cone volume = 1/3 πr²h = 1/3 x 5² x 10 x π = 250/3 π

    cylinder volume / cone volume = 2000π / (250/3π) = 24

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