Donel yuzey alani bir egrinin eksen etrafinda donmesiyle olusan alani olcer.
Temel formul
Around x-axis: S = 2π integral y sqrt(1 + (dy/dx)2) dx
Around y-axis: S = 2π integral x sqrt(1 + (dx/dy)2) dy
Around y-axis: S = 2π integral x sqrt(1 + (dx/dy)2) dy
Pratik ornek
Sphere check: rotating a semicircle of radius r gives S = 4πr2.
Ilgili kaynaklar
Use Sphere, Cylinder, Cone, and cone/frustum guide.