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Year 12 Specialist (Unit 3 & 4) Applications of integral calculus

Volumes of solids of revolution

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Question 1
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The region bounded by the line \(y=x\), the \(x\)-axis and the line \(x=3\) is rotated about the \(x\)-axis. The volume of the solid formed is \(V=k\pi\). Find the value of \(k\).
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