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
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1 Answer

  • Answer: 24times

    Step-by-step explanation:

    Formula for the volume of a cylinder                         = πr²h

    Volume of the cone                                                      = 1/3πr²h

    Therefore the volume of the cylinder               = 22/7 x 10² x 20

                                                                         = 22/7 x 10 x 10 x 20

                                                                                    = 6285.71cm³

    Therefore , the volume of the cone             = 1/3 x 22/7 x 5² x 10

                                                                         = 1/3 x 22/7 x 5 x 5 10

                                                                                      = 5500/21

                                                                                      = 261.9cm³

    Therefore the number of times needed to use the completely filled cone to completely filled the cylinder with water                                                                                                                       = 6285.71/261.9

                                                                                    = 24times.