Answer
$ 94579.5 \ J$
Work Step by Step
The volume of one layer is equal to $0.64 \Delta y \mathrm{m}^{3}$.
The force weight of one layer is equal to $3763.2 \pi \Delta y \ N$
Therefore, the work done against can be computed as:
$ W=\int_{0}^{4} 3763.2 \pi y \ d y\\=3763.2 \pi \int_{0}^{4} y \ d y\\ =3763.2 \ \pi [\dfrac{y^2}{2}]_0^4 \\=30105.6 \pi \\ \approx 94579.5 \ J$
