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Josh has a cone 1/2 the height of a cylinder. The cylinder and the cone have congruent bases. He fills the cylinder with water from the cone. How many cones of water does it take to completely fill the cylinder?

Respuesta :

The number of cones it would take to completely fill the cylinder is 6 cones.

How many cones of water does it take to completely fill the cylinder?

Let us assume that the dimensions of the cylinder are:

  • height = 10
  • radius = 6

Volume of a cylinder = πr²h

π = 22/7

r = radius

6² X 10 X π= 360π

Volume of a cone = 1/3(πr²h)

  • π = 22/7
  • r = radius
  • h = height = 10/2 = 5

Volume =1/3 x  5 x 6² x π = 60π

Number of cones it would take to fill the cylinder = 360 / 60 = 6 cones

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

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