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 wi

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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 wi

th 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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Mathematics

1 answer:

Leya [2.2K] · Answer 1 · 2022-01-14T18:53:10+03:00

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.