Math Is Fun Forum

EPhillips1989

Member

Registered: 2007-11-03

Posts: 29

volume of an ellipse

does anyone know how to calculate the volume of an ellipse when it is revolved completely around the x-axis??
for example x^2+9y^2=9

does anyone know the formula???

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: volume of an ellipse

The answer is

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: volume of an ellipse

I think to calculate the area will be tougher.

Polar Coordinates may be better

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X'(y-Xβ)=0

annu2239

Member

Registered: 2008-12-19

Posts: 1

Re: volume of an ellipse

take any curve y=f(x)  tk a strip of height y n width dx  (not rigourous but thts hw newton did such stuff) volume generated whn this strip is revolve arnd y axis is 2pix*y*dx
integrate dis under proper limits

note: in your ques rotion abt x or y axis doesnt make any diff

cregstephen

Member

Registered: 2008-12-30

Posts: 6

Re: volume of an ellipse

Here are Few formulas
cone
v=1/3*(3.14*r*r)*h
volume
v=3.14*r^2*h
surface area2*3.14*r^2*h