Respuesta :
Answer:
4Ï€
Step-by-step explanation:
4x² + 9y² = 36
Divide all  through by 9
4/9x² + ²y² = 44
[tex]\int\limits^3_0 {\pi y^{2} } \, dx[/tex]
[tex]\int\limits^3_0 {4-\frac{4}{9} }x^{2} \, dx[/tex]
The volume of solid is [tex]8\pi[/tex] unit cube.
To understand more, check below explanation.
Volume of solid:
The eqaution of ellipse is given as,
            [tex]4x^{2} +9y^{2}=36[/tex]
Divide both side by 9.
We get, Â [tex]\frac{4}{9}x^{2} +y^{2} =4[/tex]
       [tex]y^{2}=4-\frac{4}{9}x^{2}[/tex]
The volume of solid is computed as,
           [tex]Volume=\int\limits^a_b {\pi y^{2} } \, dx \\\\Volume=\int\limits^3_0 {\pi (4-\frac{4}{9}x^{2} ) } \, dx\\\\Volume=\pi (4x-\frac{4}{9}\frac{x^{3} }{3} )_{0}^{3}\\\\Volume=\pi(12-4)\\\\Volume=8\pi[/tex]
Hence, the volume of solid is [tex]8\pi[/tex] unit cube.
Learn more about the volume of solid here:
https://brainly.com/question/9076728
