(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A Hemispheric bowl has a radius ofaand a depth ofh. Find the Volume

2. Relevant equations

[tex] r= \sqrt{a^2-y^2}

[/tex]

[tex]\pi \int{(\sqrt{a^2-y^2)^2)}

[/tex]

3. The attempt at a solution

I solved the integral using the limitshand0and got [tex] \frac{\pi*h(3a^2-h^2)}{3}[/tex].

But the book usedh-aand-aand got [tex]\frac{\pi*h^2(3a-h)}{3}[/tex]

My main question is if my limits are acceptable and if the book has the correct one why must I use their limits.

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# Homework Help: Help with Limits of Integration

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