Try another version of this question

Create a bucket by rotating around the `y`-axis the curve `y=4 ln(x-1)` from `y = 0` to `y = 9`. If this bucket contains a liquid with density `840` kg/m3 filled to a height of `1` meters, find the work required to pump the liquid out of this bucket (over the top edge). Use `9.8` m/s2 for gravity.

Work =   Joules

↑
X
MathQuill
   x  x  √  n√  |   | (   ) π ∞ DNE
   x  √  (   ) π ∞ DNE
( ) ( ] [ ) [ ] —∞ ∞ ∪ DNE
< > ≤ ≥ or All Real Numbers DNE
log logn ln n√  | | e 
sin cos tan arcsin arccos arctan ⟨ ⟩
[more..]