Answer
$$8 \pi $$
Work Step by Step
We need to integrate the integral to compute the volume.
$$Volume = \int_{0}^{2} (\dfrac{5\pi y^4}{4}) \times y^4 dy \\= (\dfrac{5\pi}{4}) \times [(\dfrac{y^5}{5}]_{0}^{2} \\= \pi \times \dfrac{5}{4} \times (\dfrac{32}{5}) \\=8 \pi $$
