<p>The diagram shows the region \(R\) in the first quadrant enclosed by the curves \(y = \frac{1}{4}(4 - x^2)\), \(y = \frac{1}{2}(4 - x^2)\) and the \(y\)-axis.</p>
<p>Calculate the volume of revolution formed when&nbsp;\(R\) is rotated through \(360{}^\circ\) about the \(y\)-axis.</p>
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The diagram shows the region \(R\) in the first quadrant enclosed by the curves \(y = \frac{1}{4}(4 - x^2)\), \(y = \frac{1}{2}(4 - x^2)\) and the \(y\)-axis.

Calculate the volume of revolution formed when \(R\) is rotated through \(360{}^\circ\) about the \(y\)-axis.

Volume of revolution yielded by region between two curves

Volume of revolution yielded by region between two curves