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A cylinder and cone have the same height and radius. What is the volume of the cylinder if the volume of the cone is 45 cm^2
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akposevictor

The volume of the cylinder with the same radius and height as the cone is: 135 cm³.

What is the Volume of a Cylinder?

  • Volume of a cone is given as, V = 1/3πr²h
  • Volume of a cylinder = πr²h

Relating both volumes, we would have:

Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.

Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:

Volume of the Cylinder = 3(45)

Volume of the Cylinder = 135 cm³.

Learn more about volume of cylinder on:

https://brainly.com/question/9554871

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