<figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/converted/1760700066549-l8683a3vg7.png" width="400" class="aligncenter" /></figure>
<p>Region $A$ is bounded by $y=4-{{\left( \ln x \right)}^{2}}$ and $y=1$.</p>
<p>Find</p>
<ol class="i-list"><li><div class="list-item-paragraph">the volume of $A$ rotated through $2\pi $about $x$-axis;</div></li><li><div class="list-item-paragraph">the volume of $A$ rotated through $2\pi $ about $y$-axis;</div></li><li><div class="list-item-paragraph">the volume of $A$ rotated through $360{}^\circ $ about the line $y=1$;</div></li><li><div class="list-item-paragraph">the volume of $A$ rotated through $360{}^\circ $ about the line $x={{e}^{-\sqrt{3}}}$.</div></li></ol>

Region $A$ is bounded by $y=4-{{\left( \ln x \right)}^{2}}$ and $y=1$.

the volume of $A$ rotated through $2\pi $about $x$-axis;

the volume of $A$ rotated through $2\pi $ about $y$-axis;

the volume of $A$ rotated through $360{}^\circ $ about the line $y=1$;

the volume of $A$ rotated through $360{}^\circ $ about the line $x={{e}^{-\sqrt{3}}}$.

J2 Prelims Revision Sets – Applications of Integration Q3

J2 Prelims Revision Sets – Applications of Integration Q3

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