The region $R$ is bounded by the $y$-axis and the curves $y=\sin x$ and $y=\cos x$ for

Question

The region $R$ is bounded by the $y$-axis and the curves $y=\sin x$ and $y=\cos x$ for $0\le x\le \frac{\pi }{4}$. Find the volume of the solid of revolution formed when $R$ is rotated through $4$ right angles about the $x$-axis $y$-axis giving your answers correct to $3$ significant figures.

Accepted Answer

(i) $1.57 \text{ units}^3$ (ii) $0.696 \text{ units}^3$

ACJC Definite Integrals II Tutorial 23 Q2

ACJC Definite Integrals II Tutorial 23 Q2

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