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How to do a volume of

**revolution**: The formula is: PI*S{f(x)^2... a new region to revolve. How we find the volume of**revolution**of the new region is we find the volume under f(x) and that...3 Answers · Science & Mathematics · 07/06/2009

...of the ellipse and tangent to the ellipse. We can find the volume of

**revolution**by considering the volume of washers. Since...4 [ pi/2 - 0] 2*pi^2*a*b^2 That would be the volume of**revolution**. --charlie1 Answers · Science & Mathematics · 21/02/2013

... will use the washer method: Take a strip perpendicular to the axis of

**revolution**(x-axis is horizontal)...and strips are vertical. Then rotate...1 Answers · Science & Mathematics · 06/06/2010

First off, here we are talking about do a solid of

**revolution**about the x-axis, given a function r(x): Ok, graph y = r(x) <...2 Answers · Science & Mathematics · 13/07/2009

... for here. Another way, is parametrizing the surface of

**revolution**then integrating twice over the parameters. But then we need...1 Answers · Science & Mathematics · 05/06/2008

...the area and (b) the distance that the centroid of the area travels during the

**revolution**. In your problem, the area is int. x = 0 to 2 of x^3 dx = (1...1 Answers · Science & Mathematics · 01/03/2015

...2 = b^2(1 - (x/a)^2) ...Nice- no more square root. So, the volume of

**revolution**is: PI *b^2 * Integral{ (1 - (x/a)^2) } dx from x = -a to...3 Answers · Science & Mathematics · 08/06/2009

...title is "Volumes of Solids of

**revolutions**" I assume it just means volume. y...r' of the shell would be the distance from the axis of**revolution**(x = -1) to the current x-position. since from the origin to...1 Answers · Science & Mathematics · 01/04/2008

... integral represents the volume of the solid of

**revolution**: where R(x) is the distance between the function...if the rotation is around the x-axis (horizontal axis of**revolution**), or if the rotation is around the y-axis (vertical axis...3 Answers · Science & Mathematics · 13/05/2008

hi area

**revolution**= 2 pi int (y * (1+(y')^2)^1/2) dx = 2 pi int (cos x * (1+sin^2 x)^1/2 dx...3 Answers · Science & Mathematics · 29/04/2007

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