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

A glass vase has the shape of the solid obtained by rotating about the y–axis the area in

the first quadrant lying over the x–interval [0,a] and under the graph of y = [tex]\sqrt{x}[/tex]

Determine how much glass is contained in the vase.

2. Relevant equations

y = [tex]\sqrt{x}[/tex]

3. The attempt at a solution

I know the integration to find the area under the graph would be

F = 2/3x^(3/2)

Area = [tex]\int2/3x^(3/2)[/tex] from 0 to a

and you would need to times the total area by 2 to get the full "vase"

Thanks alot!

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# Homework Help: Finding out the amount of glass through integration

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