Question

Medals are given!
Calculate the volume around the y-axis, limited by y=sqrt(x) and x=4. Thank you.

Answer 1

I got to \[V= \int\limits_{0}^{4} \pi* (y)^2 dx\] Am I thinking correct?

Answer 2

= \[\int\limits_{0}^{4} \pi* \left(\begin{matrix}4^3 \\3\end{matrix}\right) = 67.02 ae\]