lilsnake2001 lilsnake2001
  • 16-06-2017
  • Mathematics
contestada

If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes

Respuesta :

meerkat18
meerkat18 meerkat18
  • 30-06-2017
Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²×height.

ratio of volume = πr²×2/πr²×3

We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:

ratio of volume = 2/3
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