Volume of a cone by integration

rainbowGirl

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

NateTG

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]?

Tide

You might find this thread useful: http://www.physicsforums.com/showthr...886#post341886