The base of a solid is bounded by y=x^1/2, x=1, x=4, and y=0. What is the volume if the solid has square cross sections perpendicular to the x axis?
I got 15pi/2, but I'm not sure that's right. Could anyone help me find the right answer? the cross sections are confusing me. thank you!
Invoke Cavaleri's Prinicple: To get the volume of this solid, integrate the area of the slice on $[1,4]$. You should not get a $\pi$ as a result.