How do I find the volume of a described solid using integration?

[Jet1045]

Homework Statement

I uploaded of a picture of the question so hopefully it comes up here.

Homework Equations

The Attempt at a Solution

OK! so i am SO confused on where to start.
I am imagining the solid flipped on its side with the x-axis going through its center.

So all i have is that the integral would be from 0 to h of (pi)(r)^2
Is this at all close?
Any hints would be greatly appreciated. :)

 

[jedishrfu]

That's a start but you have to relate r to h and then integrate over h.

 

[Dick]

r, R and h are given as constants in your diagram. Let's not integrate over any of them. Let y be the distance from the bottom of your solid. So y goes from 0 to h. Then your integral is the integral of (pi)(ρ(y))^2*dy for y from 0 to h. Where ρ(y) is the cross sectional radius of your solid at the height y. ρ(0)=R, ρ(h)=r. Can you figure out an expression for ρ(y) at a general height y?

 

[Jet1045]

I GOT IT !
thanks for the help dick :)