Use the shell method to set up and evaluate the integral that gives the volume of the solid...

Using the shell method we can find the volume of the solid generated by the given curves,

Using the shell method the volume is given as

where p(x) is the function of the average radius 

and

h(x) is the function of height = 

and the range of x is given as...

Using the shell method we can find the volume of the solid generated by the given curves,

Using the shell method the volume is given as

where p(x) is the function of the average radius 

and

h(x) is the function of height = 

and the range of x is given as 0 to 1

So the volume is 

let us first solve

let

so ,

So,  

 

=

=

=

=

is the volume