Finding Volume by Rotating Curves around the x-axis

[EngnrMatt]

Homework Statement

Find the volume of the solid made by rotating the region bounded by the given curves around the x-axis.

y = 6x², y = 0, and x = 1

Homework Equations

V= A(x)*h where h = dx

The Attempt at a Solution

As I was taught in class, I tried using 6x² as my radius, squaring it, and multiplying it by π, and integrating it (using dx as height of course). The lower limit of integration is 0, as given by the line y=0. The upper limit would need to be the value of y when x=1, which is 6. So, $\int$36∏x^4 dx with the limits mentioned is what i get for my answer, however I am apparently wrong. What did I do wrong?

EDIT: Never mind, I see the dumb mistake I made in approaching this... it's time for me to go to bed, I've done nothing but study today and I probably need rest. Mods can delete if need be.

 

[Simon Bridge]

Well done :)