Question Number 20281 by ajfour last updated on 25/Aug/17
![Compute the volume bounded by the surfaces: y=x^2 , x=y^2 , z=0, z=12+y−x^2 . [ Ans. ((549)/(144))]](https://www.tinkutara.com/question/Q20281.png)
$${Compute}\:{the}\:{volume}\:{bounded}\:{by} \\ $$$${the}\:{surfaces}:\:{y}={x}^{\mathrm{2}} ,\:{x}={y}^{\mathrm{2}} ,\:{z}=\mathrm{0}, \\ $$$${z}=\mathrm{12}+{y}−{x}^{\mathrm{2}} .\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left[\:{Ans}.\:\:\:\:\frac{\mathrm{549}}{\mathrm{144}}\right] \\ $$