Moderate -0.3 This is a straightforward volume of revolution question requiring direct application of the formula V = π∫y²dx. Since y² = x-1 is already given, the integration is trivial (just ∫(x-1)dx), making this slightly easier than average with no algebraic manipulation or problem-solving required.
3 The curve \(y ^ { 2 } = x - 1\) for \(1 \leq x \leq 3\) is rotated through \(360 ^ { \circ }\) about the \(x\)-axis. Find the volume of the solid formed.
3 The curve $y ^ { 2 } = x - 1$ for $1 \leq x \leq 3$ is rotated through $360 ^ { \circ }$ about the $x$-axis. Find the volume of the solid formed.
\hfill \mbox{\textit{OCR MEI C4 Q3 [4]}}