hello guys, just wanted to see if i derived this question correctly.

A bowl is formed by rotating about the y-axis the area contained between that part of the curve 2y=x^2 from x = 0 to x = 4, the line x=4 and the x-axis. calculate the maximium volume of water he bowl could hold.

i have derived the formula

Volume = dx

the upper limit is 0 and the lower limit should be 4. i cant seem to get that in latex form..

is this correct though