Question

Let R be the region bounded by $y = 3.5\sqrt{x}$, $x = 3.25$ and the x axis. R appears below. Find the volume of the solid S obtained by rotating R about the line $y = -2.5$. S appears below. Hint: dV has the shape of a washer. $\text{Volume} = \int_0^{3.25} f(x)dx$ where $f(x) = $ $\text{Then volume} = \int_0^{3.25} f(x)dx = $

          Let R be the region bounded by $y = 3.5\sqrt{x}$, $x = 3.25$ and the x axis. R appears below.
Find the volume of the solid S obtained by rotating R about the line $y = -2.5$. S appears below.
Hint: dV has the shape of a washer.
$\text{Volume} = \int_0^{3.25} f(x)dx$
where $f(x) = $
$\text{Then volume} = \int_0^{3.25} f(x)dx = $
        
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Let R be the region bounded by y = 3.5√(x), x = 3.25 and the x axis. R appears below.
Find the volume of the solid S obtained by rotating R about the line y = -2.5. S appears below.
Hint: dV has the shape of a washer.
Volume = ∫0^3.25 f(x)dx
where f(x) =
Then volume = ∫0^3.25 f(x)dx =

Added by Elena N.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Let R be the region bounded by y = 3.5√(x), x = 3.25, and the x-axis. R appears below. Find the volume of the solid S obtained by rotating R about the line y = -2.5. S appears below. Hint: dV has the shape of a washer. Volume = ∫ from 0 to 3.25 f(x)dx where f(x) = Then volume = ∫ from 0 to 3.25 f(x)dx = Question Help: Message instructor Let R be the region bounded by y = 3.5x, x = 3.25, and the x-axis. R appears below. Find the volume of the solid S obtained by rotating R about the line y = -2.5. S appears below. Hint: dV has the shape of a washer. Volume = f(x)dx where f(x) = f(x)dx Then volume Question Help: Message instructor
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Transcript

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00:01 Okay, so we need to compute the volume obtained by rotating the region below this curve about the line y equals negative 2 .5 okay, well this volume is given by what? this volume is pi multiplied by an integral between 0 and 5 .5.
00:32 Or 5 .25 of 3 square root of x minus here there is the important part since we are revolving this region about this line we are going to have minus minus 2 .5 so plus 2 .5 squared in the x.
01:07 Okay, now this one is what? well, this one is the same as pi multiplied by an integral from 0 to, let's write this guy here as 21 over 4...
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