Find the volume of the solid of revolution obtained by rotating the curve
x = e^t, y = cos t, t E [0, π], around the x axis.

Question

Find the volume of the solid of revolution obtained by rotating the curve
x = e^t,  y = cos t, t E [0, π], around the x axis.

anonymous · Answer

yikes calc 2 no fun

anonymous · Answer

I'm confused...... do you mean x=e^y and y=cos(x) and x E[0, pi]? because the problem as it is says y and x are both functions of t

anonymous · Answer

x = e^t
y = cost
$$t\in [0,π]$$

Answer is supose to be 3π(e^π-1)/5
Cant find how i get it on my own it seems, but im still trying
Thanks for all help

anonymous · Answer

Oh.....your working with parametric equations

anonymous · Answer

correct

anonymous · Answer

do you have the equation for volume? I don't see it on my calc two book?

anonymous · Answer