Have you learnt how to use cylindrical coordinates?
If so consider using
where |J| is the determinant of the Jacobian
integrate dA between r=0 and r=0.4317 and between
Find the surface area of the cone z=4sqrt(x^2+y^2) and above a region in the xy-plane with area 3.
I tried this problem and here's what i've done------
The slope s is s=sqrt(r^2+16r^2)=sqrt(17)r
A surface=pir^2+pi r s=pi r^2(1+sqrt17)
3=pi r^2(1+sqrt17) ===> r=0.4317
this is as far as i went, but what do I do next to get the surface area?
Thanks in advance!!!