Question

Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the x-axis.

Answer 1

I visualize a cylinder with a radius of 4.6 and a height of 4.6 with a cone of radius 4.6 and height of 2.1 removed.

so vol = pi(4.6)^2(4.6) - 1/3(pi)(4.6^2)(1.2)