The base of a solid is a circle; x^2 + y^2 = a^2. Each plane section of the solid cut by a plane section of the x- axis is an isosceles triangle. Find the Volume of the solid. I am having trouble picturing how this looks.

Question

anonymous · Answer

Imagine cutting out a circle and laying it flat on the table. Now imagine cutting out a bunch of triangles whose base is equal to the horizontal distance between two points on the circle(the triangles will get smaller as they approach the top or bottom of the circle). Now you glue these triangles so that the bases are perpendicular to the circle and the triangles are facing up from the page.
|dw:1362621908846:dw|
^Each line represents the base of a single triangle.
Hopefully this makes sense, it's the best way I can explain it.

anonymous · Answer

And there is an infinite amount of triangles.