Question

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x − 1 , y = 0, x = 6; about the x-axis

Answer 1

We can use disk method

bound is from 1 to 6

now, we can set up integral

now, we can solve it

now, we can solve each integrals

and then combine them

and we get

..............Answer