Video: Finding the Volume of a Cone

Work out the volume of a cone with a radius of 3 and a height of 14. Give your solution to two decimal places.

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Video Transcript

Work out the volume of a cone with a radius of three and a height of 14. Give your solution to two decimal places.

The volume of a cone is calculated using the formula one-third 𝜋𝑟 squared ℎ, where the 𝑟 is the radius of the cone and the ℎ is the height. In this particular question, we are told that the radius is three and the height is 14.

Substituting these numbers into the formula gives us one-third multiplied by 𝜋 multiplied by three squared multiplied by 14. This is equal to 42𝜋, as three squared equals 9 and a third multiplied by nine multiplied by 14 is 42.

As the question asked for the solution to two decimal places, 42 multiplied by 𝜋 is 131.95. Therefore, the volume of a cone with radius three and height 14 is 131.95.

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