Year 12 Maths Extension 1 (2027)
Further applications of calculus
Volumes of solids of revolution
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Question 1
182866
A region under \(y=f(x)\) from \(x=a\) to \(x=b\) is rotated about the \(x\)-axis. The volume of the solid formed is:
\(\pi\displaystyle\int_a^b y^2\,dx\)
\(\pi\displaystyle\int_a^b y\,dx\)
\(2\pi\displaystyle\int_a^b y\,dx\)
\(\displaystyle\int_a^b y^2\,dx\)
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