Asked by Ethan
Find the volume of a solid whose base is bounded by the parabola x=y^2 and the line x=9, having square cross-sections when sliced perpendicular to the x-axis.
Answers
Answered by
Steve
the square has base 2y=2√x and height 2y=2√x and thickness dx
So,
v = ∫[0,9] (2√x)(2√x) dx
= ∫[0,9] 4x dx
...
So,
v = ∫[0,9] (2√x)(2√x) dx
= ∫[0,9] 4x dx
...