Answer:
volume of the required generated cylinder will be = 5153
Step-by-step explanation:
to calculate volume of solid generation
given[tex] x = y^{\dfrac{3}{2}}[/tex]
Volume of solid generated
= [tex]=\int_{a}^{b}\pi x^2dy\\=\int_{0}^{9}\pi (y^{3/2})^2dy\\=\int_{0}^{9}\pi y^3 dy\\=\pi\int_{0}^{9}y^3 dy\\= \pi [\dfrac{y^4}{4}]^9_0\\=5153[/tex]
hence, the volume of the required generated cylinder will be = 5153
