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Height of a cylinder from volume

This skill teaches how to calculate the height of a cylinder given its volume and the area of its base. The height is determined by dividing the cylinder's volume by the area of its base.

Skill Practice

Height of a cylinder from volume and base area

Test your understanding of height of a cylinder from volume by practicing it! Work through the below exercises to use it in practice.

  • Volume of a Cylinder - Calculate Side from Volume and Base Area
  • Volume of a Cylinder - Calculate Prism Side (Pi Ratio) from Volume and Sides
  • Volume of a Cylinder - Calculate Prism Side (Integer) from Volume and Sides
  • Volume of a Hexagonal Prism - Calculate Side from Volume and Base Area
  • Volume of a Pentagonal Prism - Calculate Side from Volume and Base Area
  • Volume of a Rectangular Prism - Calculate Side from Volume and Base Area
  • Volume of a Triangular Prism (Non-Right) - Calculate Side from Volume and Base Area
  • Volume of a Triangular Prism (Right) - Calculate Prism Side from Volume and Sides
  • Volume of a Triangular Prism (Non-Right) - Calculate Prism Side from Volume and Sides
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Teaching Transcript

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Find the height of this cylinder from it's volume and the area of its base

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The volume of any prism, including a cylinder, is just the area of its base times the length of the straight sides. In this case the straight sides are its height

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We know the volume is 30 and the area of the base is 6

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So the height is 30 divided by 6

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Which is a height of 5. You can use this approach for any prisme that you know the volume and base area.