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I am trying to find the volume of a cone using integration through horizontal slicing. The cone has a base radius of 10cm and a height of 5cm.

I am assuming this means I should integrate with respect to y, but I am not entirely sure how to set this up. I know that volume of a cylinder is given by the following: $$V = \pi r^2h$$

So I am assuming that the integral would be: $$\pi \int_0^5 f(y)^2dy$$

I am not sure how the x value of the radius 10cm (since it is not with respect to y) should fit into the equation, though.

Also, sorry for the pseudo-code style. I do not know how to use the math typesetting yet.

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    [volume of cone](http://en.wikipedia.org/wiki/Volume#Cone)2011-11-15

2 Answers 2