Choose a shape
01 · SHAPESelect a lifting-body geometry. Each shape uses a verified analytic volumetric and surface-area formula; the toroidal lenticular is proprietary.
A precision tool for designing buoyant lifting bodies. Choose a shape, enter dimensions in your preferred unit, and the calculator derives volume, surface area, gross lift, gas mass, and net payload capacity in real time.
Select a lifting-body geometry. Each shape uses a verified analytic volumetric and surface-area formula; the toroidal lenticular is proprietary.
The toroidal lenticular geometry, its master volumetric formulation, and the surface-integration scheme used in this calculator are the proprietary intellectual property of Pruthvi Kapoor.
Mathematical models for the sphere, oblate spheroid, prolate spheroid, and capsule shapes are derived from public-domain analytic formulae and reproduced here for engineering reference.
Unauthorised reproduction, reverse-engineering, public re-hosting, or derivative works incorporating the proprietary toroidal-lenticular formulation are strictly prohibited.
This tool is provided for engineering reference. The author accepts no liability for design decisions made on the basis of these computations. All buoyancy figures assume ISA sea-level conditions (15 °C, 101.325 kPa); real-world performance will vary with altitude, temperature, and humidity.
For licensing, design partnerships, or technical inquiries: