Bowl Segment Calculator: Calculate Volume, Area & Base Radius

Calculate Your Bowl Segment Dimensions

Unlock precise measurements for bowl segments (spherical caps) with our advanced online calculator. Easily determine the volume, curved surface area, and base radius using just the sphere's radius and segment height. Ideal for engineers, designers, and students needing accurate geometric calculations for various applications.

Formula:

The calculator uses the following formulas for a spherical segment (bowl segment):

  • Volume (V): V = (1/3)πh²(3R - h)
  • Curved Surface Area (A): A = 2πRh
  • Base Radius (a): a = √[h(2R - h)]

Where:

  • R = Radius of the full sphere
  • h = Height of the spherical segment (bowl depth/height)
  • a = Radius of the segment's circular base
  • π ≈ 3.14159

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