If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Conversion of solids

You might need: Calculator

Problem

We have a conical vessel of radius 5cm and height 12cm which is four-fifth full of water.
It is emptied into a cylindrical vessel of radius 5cm.
Find the height till which the water fills the vessel.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
cm