Region $A$ is bounded by $y=\sqrt{x}$, $y$-axis and $y=2-{{x}^{2}}$. Region $B$ is bounded

Question

Region $A$ is bounded by $y=\sqrt{x}$, $y$-axis and $y=2-{{x}^{2}}$. Region $B$ is bounded by $y=\sqrt{x}$, $x$-axis and $y=2-{{x}^{2}}$. Find volume of $A$ rotated through $2\pi $ about the $y$-axis; volume of $B$ rotated through $2\pi $ about the $x$-axis; volume of $B$ about through $2\pi $ about the $y$-axis.

Accepted Answer

(i) $2.20$ units³, (ii) $2.04$ units³, (iii) $4.08$ units³

Worked Example 3

Worked Example 3

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