Example $6$: Calculate the volume of the solid generated when the region bounded by $y = x^2$ an

Question

Example $6$: Calculate the volume of the solid generated when the region bounded by $y = x^2$ and $y = 2 - x^2$ is rotated through $\pi$ radians about the $y$-axis.

Accepted Answer

$\pi $ unit$^3$.

Volume of revolution about y-axis

Volume of revolution about y-axis