## Volume of a cone by integration

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

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 Recognitions: Homework Help Science Advisor Can you find the radius of the cone at height $$h$$? What is the volume of a cylinder with radius $$r$$ and height $$dx$$?
 Recognitions: Homework Help Science Advisor You might find this thread useful: http://www.physicsforums.com/showthr...886#post341886