Rotationsyta mater ytan som uppstar nar en kurva roterar runt en axel.

Nyckelformel

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

Praktiskt exempel

Sphere check: rotating a semicircle of radius r gives S = 4πr2.

Relaterade resurser

Use Sphere, Cylinder, Cone, and cone/frustum guide.