Find the volume of the solid obtained by rotating the region bound by

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Find the volume of the solid obtained by rotating the region bound by y = x2 16 + 4, y = 2 − x2 16 between x = 0 and x = 4 about the y-axis. Suppose we revolve the graphs of y = 4 − x2 and y = 5 for 0 ≤ x ≤ 2. Find the volume if the rotation occurs (a) about the line y = 5. (b) about the x-axis.

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Find the volume of the solid obtained by rotating the region bound by $y = \frac{x^{2}}{16} + 4, y = 2 - \frac{x^{2}}{16}$ between $x = 0$ and $x = 4$ about the $y$ -axis.
Suppose we revolve the graphs of $y = 4 - x^{2}$ and $y = 5$ for $0 \leq x \leq 2$ . Find the volume if the rotation occurs (a) about the line $y = 5$ . (b) about the $x$ -axis.