Question

A cylinder has a volume of 1,884cm^3. Find the volume of a cone with the same radius and height as the cylinder. Please explain how you got ur answer so that I can know how to do it as well. Thank you!

Answer 1

• 628 cm³

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A cone with the same radius and height as the cylinder has 3 times less volume as per formulas:

• 
  `V_(cyl)=\pi r^2h`

• 
  `V_(cone)=\cfrac{1}{3}\ \pi r^2h`

Hence the volume of the cone is:

• 1884/3 cm³ = 628 cm³