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A solid lies between planes perpendicular to the​ y-axis at y0 and y. The​ cross-sections perpendicular to the​ y-axis are circular disks with diameters running from the​ y-axis to the parabola. Find the volume of the solid.

Respuesta :

okpalawalter8

We have that the Volume is mathematically given as

[tex]V=\frac{7\pi}{10} cube units[/tex]

Volume

Generally the equation for the diameter   is mathematically given as

[tex]d=\sqrt{14}y^2-0\\\\Therefore\\\\qr=\sqrt{14}y^2\\\\Hence\\\\Area=\frac{7}{q}\piy^4\\\\[/tex]

Therefore

[tex]V=\int^b_a(A(y))dy\\\\Giving\\\\V=\frac{7}{q}\piy^4 dy[/tex]

[tex]V=\frac{7\pi}{10}[/tex]

For more information on Volume visit

https://brainly.com/question/1578538

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