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 5, start text, c, m, end text and height 12, start text, c, m, end text which is four-fifth full of water.
It is emptied into a cylindrical vessel of radius 5, start text, c, m, end text.
Find the height till which the water fills the vessel.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, c, m, end text
Stuck?
Stuck?