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Volume of a cone by integration

  1. Oct 14, 2004 #1
    Can anyone help me with this question?

    A uniform solid cone of height b and base radius a stands on a horizontal table. Find an expression for the volume of the disc at height h above the base. Integrate over all the discs to show that the total volume, V, is given by V =pi/3 * b * a^2
  2. jcsd
  3. Oct 14, 2004 #2


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    Can you find the radius of the cone at height [tex]h[/tex]?
    What is the volume of a cylinder with radius [tex]r[/tex] and height [tex]dx[/tex]?
  4. Oct 14, 2004 #3


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