Surface Area of an EggDate: 02/28/2001 at 05:09:05 From: Sean Subject: Surface area of an egg Hi - How do you find the surface area of an egg? This is very important. Date: 02/28/2001 at 07:53:35 From: Doctor Jerry Subject: Re: Surface area of an egg Hi Sean, Using calculus, one can find the surface area of a surface IF the surface can be described by an equation or by a parametric equations. The "egg shape," however, has no standard, well-known equation. If you provide the equation, I can tell you how to calculate its area. I imagine that at least approximately, the surface of an egg is a "surface of revolution," which makes it easier. However, one must give an equation of the curve which, when rotated about the line of symmetry of the egg, generates the surface. If this curve were described by y = f(x), a <= x <= b, the area of the generated surface would be int(x=a,x=b,2*pi*f(x)*sqrt(1+f'(x)^2)*dx). Often, such integrals must be done numerically. Jerry - Doctor Jerry, The Math Forum http://mathforum.org/dr.math/ |
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